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JSUNIL CLASSES "A SMART CLASS CENTER" Page 1 
 
 CBSE TEST PAPER-2 
     CHAPTER :LINES AND ANGLES 
MATHEMATICS  CLASS IX 
 
Q1.  Find the measure of an angle, if seven times its complement is 10 less 
than three times its supplement.  
Q2.  In the given figure, < AOC and < BOC form a linear pair. If a-b = 80 find 
the value of a and b.  
 
Q3.  In the figure, ray OS stands on a line POQ. Rays OR and OT are the 
angle bisectors of < POS and < SOQ respectively.  
If < POS = x. Find < ROT.  
 
Q4.  The ray OE bisects  < AOB and OF is the ray opposite to OE, show that 
< FOB= < FOA.  
 
Q5.  In the figure three coplanar lines intersect in a common point, forming 
angles as shown. If a=45 , e = 50 then find angles b , c ,  d and f.  
 
Q6.  In the given figure, x:y:z = 5:4:6. If XOY is a straight line, find the values 
of x , y and z .  
 
Q7.  Two lines PQ and RS intersect at a point O such that < POS + <  ROQ = 
280. Find all four angles.  
 
Page 2


 
JSUNIL CLASSES "A SMART CLASS CENTER" Page 1 
 
 CBSE TEST PAPER-2 
     CHAPTER :LINES AND ANGLES 
MATHEMATICS  CLASS IX 
 
Q1.  Find the measure of an angle, if seven times its complement is 10 less 
than three times its supplement.  
Q2.  In the given figure, < AOC and < BOC form a linear pair. If a-b = 80 find 
the value of a and b.  
 
Q3.  In the figure, ray OS stands on a line POQ. Rays OR and OT are the 
angle bisectors of < POS and < SOQ respectively.  
If < POS = x. Find < ROT.  
 
Q4.  The ray OE bisects  < AOB and OF is the ray opposite to OE, show that 
< FOB= < FOA.  
 
Q5.  In the figure three coplanar lines intersect in a common point, forming 
angles as shown. If a=45 , e = 50 then find angles b , c ,  d and f.  
 
Q6.  In the given figure, x:y:z = 5:4:6. If XOY is a straight line, find the values 
of x , y and z .  
 
Q7.  Two lines PQ and RS intersect at a point O such that < POS + <  ROQ = 
280. Find all four angles.  
 
 
JSUNIL CLASSES "A SMART CLASS CENTER" Page 2 
 
Q8.  Two straight lines AB and CD intersect each other at point O. If < AOC= 
48 and OE bisects < BOC, find <EOD.  
 
Q9.  <POQ=64 , Arm PO is produced upto point R and OS is the bisector of 
<QOR. Find the measure of <POS.  
 
Q10.  In the given figure LM II NQ. Find the value of x.  
 
Q11.  In the given figure, prove that AB II EF.  
 
Q12.  If the arms of one angle are respectively parallel to the arms of another 
angle, show that the two angles are either equal or supplementary.  
Q13.  If AB II CD, find the value of x.  
 
Q14.  In the figure, the bisectors of < Band < C  meet at O. Find 
 < BOC.  
Page 3


 
JSUNIL CLASSES "A SMART CLASS CENTER" Page 1 
 
 CBSE TEST PAPER-2 
     CHAPTER :LINES AND ANGLES 
MATHEMATICS  CLASS IX 
 
Q1.  Find the measure of an angle, if seven times its complement is 10 less 
than three times its supplement.  
Q2.  In the given figure, < AOC and < BOC form a linear pair. If a-b = 80 find 
the value of a and b.  
 
Q3.  In the figure, ray OS stands on a line POQ. Rays OR and OT are the 
angle bisectors of < POS and < SOQ respectively.  
If < POS = x. Find < ROT.  
 
Q4.  The ray OE bisects  < AOB and OF is the ray opposite to OE, show that 
< FOB= < FOA.  
 
Q5.  In the figure three coplanar lines intersect in a common point, forming 
angles as shown. If a=45 , e = 50 then find angles b , c ,  d and f.  
 
Q6.  In the given figure, x:y:z = 5:4:6. If XOY is a straight line, find the values 
of x , y and z .  
 
Q7.  Two lines PQ and RS intersect at a point O such that < POS + <  ROQ = 
280. Find all four angles.  
 
 
JSUNIL CLASSES "A SMART CLASS CENTER" Page 2 
 
Q8.  Two straight lines AB and CD intersect each other at point O. If < AOC= 
48 and OE bisects < BOC, find <EOD.  
 
Q9.  <POQ=64 , Arm PO is produced upto point R and OS is the bisector of 
<QOR. Find the measure of <POS.  
 
Q10.  In the given figure LM II NQ. Find the value of x.  
 
Q11.  In the given figure, prove that AB II EF.  
 
Q12.  If the arms of one angle are respectively parallel to the arms of another 
angle, show that the two angles are either equal or supplementary.  
Q13.  If AB II CD, find the value of x.  
 
Q14.  In the figure, the bisectors of < Band < C  meet at O. Find 
 < BOC.  
 
JSUNIL CLASSES "A SMART CLASS CENTER" Page 3 
 
 
Q15.  In the given figure, AD divides < BAC in the ratio 1:3and AD = DB. 
Determine the value of x.  
 
Q16.  If the sides of a triangle are produced in order, prove that the sum of the 
exterior angles so formed is equal to four right angles.  
Q17.  If one angle of a triangle is equal to the sum of the other two angles, 
show that the triangle is a right angled triangle.  
Q18.  Two angles of a triangle are equal and the third angle is greater than 
each one of them by 18 . Find all the angles.  
Q19.  If two straight lines are perpendicular to the same line, prove that they 
are parallel to each other.  
Q20.  If two parallel lines are intersected by a transversal, prove that the 
bisectors of the two pairs of interior angles enclose a rectangle.  
 
Source         JSUNIL CLASSES "A SMART CLASS CENTER" 
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FAQs on CBSE Test Paper - Maths Lines and Angles, Class 9, CBSE

1. What are lines and angles in mathematics?
Ans. Lines are straight, infinitely long figures that extend in both directions. They have no endpoints. Angles, on the other hand, are formed when two lines intersect. They are measured in degrees and can be classified as acute, obtuse, right, straight, or reflex angles.
2. How do you identify different types of angles?
Ans. Different types of angles can be identified based on their measurements. - An acute angle is less than 90 degrees. - A right angle measures exactly 90 degrees. - An obtuse angle measures more than 90 degrees but less than 180 degrees. - A straight angle measures exactly 180 degrees. - A reflex angle measures more than 180 degrees but less than 360 degrees.
3. What are complementary angles?
Ans. Complementary angles are two angles that add up to 90 degrees. In other words, when the measures of two angles add up to 90 degrees, they are said to be complementary angles. For example, if one angle measures 30 degrees, the other angle would measure 60 degrees, making them complementary.
4. How do you find the sum of the angles in a triangle?
Ans. The sum of the angles in a triangle is always 180 degrees. To find the sum, simply add the measures of the three angles of the triangle. For example, if one angle measures 60 degrees, another angle measures 70 degrees, and the third angle measures x degrees, then the sum of the angles would be 60 + 70 + x = 180 degrees.
5. What is the difference between adjacent and vertical angles?
Ans. Adjacent angles are two angles that have a common vertex and a common side between them. They do not overlap. On the other hand, vertical angles are a pair of non-adjacent angles formed by two intersecting lines. They are opposite each other and share the same vertex. In simpler terms, adjacent angles are next to each other, while vertical angles are across from each other.
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