Mental Maths Questions and Answers: Lines and angles | Mental Math for Class 7 PDF Download

 Page 1


 
  
 
 
Lines and Angles 
Points to remember: 
? A line segment has two end points  
 
? A ray has only one end point  
            
? A line has no end points.  
 
? When two lines meet at a point, they are called intersecting lines and 
when two lines do not meet even on extending, those lines are called 
parallel lines.  
 
  Intersecting lines                                               Parallel lines.  
? Lines passing through the same point are called concurrent lines.  
? A line that intersects a pair of lines (intersecting or parallel lines) at 
distinct points is called a transversal.  
? Vertically opposite angles formed by two intersecting lines are equal. 
? Two angles whose sum is ???? ° are complimentary angles. 
? Two angles whose sum is ?????? ° are supplementary angles. 
Page 2


 
  
 
 
Lines and Angles 
Points to remember: 
? A line segment has two end points  
 
? A ray has only one end point  
            
? A line has no end points.  
 
? When two lines meet at a point, they are called intersecting lines and 
when two lines do not meet even on extending, those lines are called 
parallel lines.  
 
  Intersecting lines                                               Parallel lines.  
? Lines passing through the same point are called concurrent lines.  
? A line that intersects a pair of lines (intersecting or parallel lines) at 
distinct points is called a transversal.  
? Vertically opposite angles formed by two intersecting lines are equal. 
? Two angles whose sum is ???? ° are complimentary angles. 
? Two angles whose sum is ?????? ° are supplementary angles. 
 
  
 
? Two angles with a common vertex and a common arm between non-
common arms are called adjacent angles.  
? When a transversal intersects two parallel lines then :  
(a) Each pair of corresponding angles are equal. 
(b) Each pair of alternate angles are equal  
(c) Interior angles on the same side of the transversal are 
supplementary.  
? Two lines are parallel if 
(a) A pair of corresponding angles is equal  
(b) A pair of alternate angles is equal  
(c) A pair of interior angles on the same side of the transversal 
are supplementary.   
Questions: 
1. What will be he complement of the following angles?  
(a) ???? °         (b) ???? °          (c) ???? °           (d) ???? ° 
2. Write the supplement of the following angles.  
(a) ?????? °       (b) ???? °        (c) ???? °       (d) ?????? ° 
3. Find the measure of angle which is the complement of itself.  
4. Two complementary angles are in the ratio of 4 : 5. Find the angles.  
5. Find the measure of an angle which is supplement of itself.  
6. Two supplementary angles differ by ???? °. Find the angles.  
7. An angle is four times its complement. Find the angle.  
8. If the complement of an angle is ???? °, find the supplementary angle.  
9. An angle is equal to eight times its supplement. Determine its 
measure.  
Page 3


 
  
 
 
Lines and Angles 
Points to remember: 
? A line segment has two end points  
 
? A ray has only one end point  
            
? A line has no end points.  
 
? When two lines meet at a point, they are called intersecting lines and 
when two lines do not meet even on extending, those lines are called 
parallel lines.  
 
  Intersecting lines                                               Parallel lines.  
? Lines passing through the same point are called concurrent lines.  
? A line that intersects a pair of lines (intersecting or parallel lines) at 
distinct points is called a transversal.  
? Vertically opposite angles formed by two intersecting lines are equal. 
? Two angles whose sum is ???? ° are complimentary angles. 
? Two angles whose sum is ?????? ° are supplementary angles. 
 
  
 
? Two angles with a common vertex and a common arm between non-
common arms are called adjacent angles.  
? When a transversal intersects two parallel lines then :  
(a) Each pair of corresponding angles are equal. 
(b) Each pair of alternate angles are equal  
(c) Interior angles on the same side of the transversal are 
supplementary.  
? Two lines are parallel if 
(a) A pair of corresponding angles is equal  
(b) A pair of alternate angles is equal  
(c) A pair of interior angles on the same side of the transversal 
are supplementary.   
Questions: 
1. What will be he complement of the following angles?  
(a) ???? °         (b) ???? °          (c) ???? °           (d) ???? ° 
2. Write the supplement of the following angles.  
(a) ?????? °       (b) ???? °        (c) ???? °       (d) ?????? ° 
3. Find the measure of angle which is the complement of itself.  
4. Two complementary angles are in the ratio of 4 : 5. Find the angles.  
5. Find the measure of an angle which is supplement of itself.  
6. Two supplementary angles differ by ???? °. Find the angles.  
7. An angle is four times its complement. Find the angle.  
8. If the complement of an angle is ???? °, find the supplementary angle.  
9. An angle is equal to eight times its supplement. Determine its 
measure.  
 
  
 
10. An angle is greater by ???? ° than its supplementary angle. What is the 
angle?  
11. Two supplementary angles are in the ratio 2 : 3. Find the angles.  
12. The sum of an angle and half of its complementary angle is ???? °. Find 
the angle.  
13. Find the angle which is one-third of its supplementary angle.  
14. The difference in the measures of a pair of complementary angles 
is???? °. Find the measure of the angles.  
15. The measure of an angle is ???? ° less than the measure of its 
complement. Find the measure of the larger angle.  
16. In the given figure, if ?? = ???? , find ?? and ?? . 
 
17. In the given figure, if ?? ? ?? , and p is a transversal, find ?? .  
 
18. What is the obtuse-angle the hour hand of the clock makes with the 
minute hand when the time is 7 : ???? ?  
 
 
 
Page 4


 
  
 
 
Lines and Angles 
Points to remember: 
? A line segment has two end points  
 
? A ray has only one end point  
            
? A line has no end points.  
 
? When two lines meet at a point, they are called intersecting lines and 
when two lines do not meet even on extending, those lines are called 
parallel lines.  
 
  Intersecting lines                                               Parallel lines.  
? Lines passing through the same point are called concurrent lines.  
? A line that intersects a pair of lines (intersecting or parallel lines) at 
distinct points is called a transversal.  
? Vertically opposite angles formed by two intersecting lines are equal. 
? Two angles whose sum is ???? ° are complimentary angles. 
? Two angles whose sum is ?????? ° are supplementary angles. 
 
  
 
? Two angles with a common vertex and a common arm between non-
common arms are called adjacent angles.  
? When a transversal intersects two parallel lines then :  
(a) Each pair of corresponding angles are equal. 
(b) Each pair of alternate angles are equal  
(c) Interior angles on the same side of the transversal are 
supplementary.  
? Two lines are parallel if 
(a) A pair of corresponding angles is equal  
(b) A pair of alternate angles is equal  
(c) A pair of interior angles on the same side of the transversal 
are supplementary.   
Questions: 
1. What will be he complement of the following angles?  
(a) ???? °         (b) ???? °          (c) ???? °           (d) ???? ° 
2. Write the supplement of the following angles.  
(a) ?????? °       (b) ???? °        (c) ???? °       (d) ?????? ° 
3. Find the measure of angle which is the complement of itself.  
4. Two complementary angles are in the ratio of 4 : 5. Find the angles.  
5. Find the measure of an angle which is supplement of itself.  
6. Two supplementary angles differ by ???? °. Find the angles.  
7. An angle is four times its complement. Find the angle.  
8. If the complement of an angle is ???? °, find the supplementary angle.  
9. An angle is equal to eight times its supplement. Determine its 
measure.  
 
  
 
10. An angle is greater by ???? ° than its supplementary angle. What is the 
angle?  
11. Two supplementary angles are in the ratio 2 : 3. Find the angles.  
12. The sum of an angle and half of its complementary angle is ???? °. Find 
the angle.  
13. Find the angle which is one-third of its supplementary angle.  
14. The difference in the measures of a pair of complementary angles 
is???? °. Find the measure of the angles.  
15. The measure of an angle is ???? ° less than the measure of its 
complement. Find the measure of the larger angle.  
16. In the given figure, if ?? = ???? , find ?? and ?? . 
 
17. In the given figure, if ?? ? ?? , and p is a transversal, find ?? .  
 
18. What is the obtuse-angle the hour hand of the clock makes with the 
minute hand when the time is 7 : ???? ?  
 
 
 
 
  
 
19.  Find the value of ?? if ?? ? ?? and p is the transversal.  
 
20. Find the value of ?? + ?? + ?? . 
 
21. Find the value of ?? . 
 
22. The angles of a linear pair are in the ratio 1 : 2. Find the angles.  
23. In the given figure, find ?? and also find ??????? , ??????? , ??????? . 
 
24. A clock reads 4 : 30. If the minute hand points East, in what direction 
will the hour hand point?  
 
 
Page 5


 
  
 
 
Lines and Angles 
Points to remember: 
? A line segment has two end points  
 
? A ray has only one end point  
            
? A line has no end points.  
 
? When two lines meet at a point, they are called intersecting lines and 
when two lines do not meet even on extending, those lines are called 
parallel lines.  
 
  Intersecting lines                                               Parallel lines.  
? Lines passing through the same point are called concurrent lines.  
? A line that intersects a pair of lines (intersecting or parallel lines) at 
distinct points is called a transversal.  
? Vertically opposite angles formed by two intersecting lines are equal. 
? Two angles whose sum is ???? ° are complimentary angles. 
? Two angles whose sum is ?????? ° are supplementary angles. 
 
  
 
? Two angles with a common vertex and a common arm between non-
common arms are called adjacent angles.  
? When a transversal intersects two parallel lines then :  
(a) Each pair of corresponding angles are equal. 
(b) Each pair of alternate angles are equal  
(c) Interior angles on the same side of the transversal are 
supplementary.  
? Two lines are parallel if 
(a) A pair of corresponding angles is equal  
(b) A pair of alternate angles is equal  
(c) A pair of interior angles on the same side of the transversal 
are supplementary.   
Questions: 
1. What will be he complement of the following angles?  
(a) ???? °         (b) ???? °          (c) ???? °           (d) ???? ° 
2. Write the supplement of the following angles.  
(a) ?????? °       (b) ???? °        (c) ???? °       (d) ?????? ° 
3. Find the measure of angle which is the complement of itself.  
4. Two complementary angles are in the ratio of 4 : 5. Find the angles.  
5. Find the measure of an angle which is supplement of itself.  
6. Two supplementary angles differ by ???? °. Find the angles.  
7. An angle is four times its complement. Find the angle.  
8. If the complement of an angle is ???? °, find the supplementary angle.  
9. An angle is equal to eight times its supplement. Determine its 
measure.  
 
  
 
10. An angle is greater by ???? ° than its supplementary angle. What is the 
angle?  
11. Two supplementary angles are in the ratio 2 : 3. Find the angles.  
12. The sum of an angle and half of its complementary angle is ???? °. Find 
the angle.  
13. Find the angle which is one-third of its supplementary angle.  
14. The difference in the measures of a pair of complementary angles 
is???? °. Find the measure of the angles.  
15. The measure of an angle is ???? ° less than the measure of its 
complement. Find the measure of the larger angle.  
16. In the given figure, if ?? = ???? , find ?? and ?? . 
 
17. In the given figure, if ?? ? ?? , and p is a transversal, find ?? .  
 
18. What is the obtuse-angle the hour hand of the clock makes with the 
minute hand when the time is 7 : ???? ?  
 
 
 
 
  
 
19.  Find the value of ?? if ?? ? ?? and p is the transversal.  
 
20. Find the value of ?? + ?? + ?? . 
 
21. Find the value of ?? . 
 
22. The angles of a linear pair are in the ratio 1 : 2. Find the angles.  
23. In the given figure, find ?? and also find ??????? , ??????? , ??????? . 
 
24. A clock reads 4 : 30. If the minute hand points East, in what direction 
will the hour hand point?  
 
 
 
  
 
25. In the figure ?? ? ?? and ???? ? ???? , if ??? = ???? °, find ??? , ??? , ??? . 
 
26. In the given figure, ?? ? ?? , ??? = ???? °, ??? = ?????? °, find the values of 
?? , ?? , ?? 
 
27. In the given figure, ?? ? ?? , ??? = ?????? ° and ??? = ???? °. Find ?? , ?? , ?? . 
 
28. In the given figure, ???? ? ???? , ??????? = ???? ° and ??????? = ?????? °, find 
??????? , ??????? and ??????? .