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Test: Lines and Angles - Class 7 MCQ


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15 Questions MCQ Test Mathematics (Maths) Class 7 - Test: Lines and Angles

Test: Lines and Angles for Class 7 2024 is part of Mathematics (Maths) Class 7 preparation. The Test: Lines and Angles questions and answers have been prepared according to the Class 7 exam syllabus.The Test: Lines and Angles MCQs are made for Class 7 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Lines and Angles below.
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Test: Lines and Angles - Question 1

If two lines intersect at a point, then the vertically opposite angles are always ________

Detailed Solution for Test: Lines and Angles - Question 1

If two lines intersect at a point, then the vertically opposite angles are always equal

Test: Lines and Angles - Question 2

Two angles forming a linear pair are ________________.

Detailed Solution for Test: Lines and Angles - Question 2
  • Two angles forming a linear pair are adjacent, sharing a common side.
  • The non-common sides lie on a straight line, which measures 180 degrees.
  • This means the sum of the two angles is 180 degrees.
  • Angles that add up to 180 degrees are called supplementary.
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Test: Lines and Angles - Question 3

A line that intersects two or more lines at distinct points is called

Detailed Solution for Test: Lines and Angles - Question 3

A line that intersects two or more lines at distinct points is called transversal

Test: Lines and Angles - Question 4

If two adjacent angles are supplementary, then they form _________ .

Detailed Solution for Test: Lines and Angles - Question 4

A linear pair is two angles that are adjacent and whose non-common sides form a straight line. If two angles are a linear pair, then they are supplementary.

Test: Lines and Angles - Question 5

If two angles are supplementary then the sum of their measures is __________.

Detailed Solution for Test: Lines and Angles - Question 5

If two angles are supplementary then the sum of their measures is 180°

Test: Lines and Angles - Question 6

If two angles are complementary, then the sum of their measures is __________.

Detailed Solution for Test: Lines and Angles - Question 6

If two angles are complementary, then the sum of their measures is 90°.

Test: Lines and Angles - Question 7

If ∠S and 100° form a linear pair. What is the measure of ∠S

Detailed Solution for Test: Lines and Angles - Question 7

∠S and 100° form a linear pair i.e, 

∠S + 100° = 180°

∠S = 180deg - 100°

∠S = 80°

Test: Lines and Angles - Question 8

In figure pair of alternate interior angles are :

Detailed Solution for Test: Lines and Angles - Question 8

Alternate interior angles are formed when a transversal passes through two lines. The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles. The theorem says that when the lines are parallel, that the alternate interior angles are equal.

So in the given figure ∠2, ∠3 are alternate interior angles
Alternate angle form Z shape

Test: Lines and Angles - Question 9

Find the measure of an angle, if 7 times its complement is 10 less than 3 times its supplement

Detailed Solution for Test: Lines and Angles - Question 9

Let the angle be x
measure of its complement = (90-x)
measure of its supplement= (180-x)
7(90-x) =3(180-x)-10

630 - 7x=540x-3x -10

-7x+3x= 530-630
-4x=-100

x= 100/4
x=25º

Test: Lines and Angles - Question 10

What is the measure of an angle whose measure is 32 less than its supplement?

Detailed Solution for Test: Lines and Angles - Question 10

Test: Lines and Angles - Question 11

The angle which makes a linear pair with an angle of 61o is of 

Detailed Solution for Test: Lines and Angles - Question 11

Linear pair has a sum of 180 degrees
So x+61 =180
x=180 - 61 =119 degrees

Test: Lines and Angles - Question 12

The sum of all angles around a point is

Detailed Solution for Test: Lines and Angles - Question 12

When we talk about angles around a point, imagine you are standing in one spot and you look all the way around in a full circle. As you turn around completely, you would have covered 360 degrees. This is because a full rotation or circle measures 360 degrees. Therefore, the sum of all angles formed by lines meeting at a single point (all the way around that point) adds up to 360 degrees.

Here's a simple way to think about it:

  • If you take four right angles (each 90 degrees) and place them together around a point, they will form a full circle.
  • 90+90+90+90=360

So, no matter how many angles you have around a point, their total will always be 360 degrees.

Test: Lines and Angles - Question 13

If  two lines are intersected by a transversal such that any pair of corresponding angles are equal then the lines are

Detailed Solution for Test: Lines and Angles - Question 13

If  two lines are intersected by a transversal such that any pair of corresponding angles are equal then the lines are parallel

Test: Lines and Angles - Question 14

Detailed Solution for Test: Lines and Angles - Question 14

Its a straight angle which is equal to 180 degrees.
So ,6y+y+2y = 180
9y = 180
y= 180/9 = 20 degrees

Test: Lines and Angles - Question 15

A and B are vertically opposite angles. If the measure of A is 60o, what is the value of B?

Detailed Solution for Test: Lines and Angles - Question 15
- A and B are vertically opposite angles formed when two lines intersect.
- Vertically opposite angles are always equal.
- Given that the measure of angle A is 60 degrees, angle B must also be 60 degrees.
- Therefore, the value of angle B is 60 degrees.

Answer: 4. 60 degrees
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