Description

This mock test of Olympiad Test: Lines and Angles for Class 7 helps you for every Class 7 entrance exam.
This contains 20 Multiple Choice Questions for Class 7 Olympiad Test: Lines and Angles (mcq) to study with solutions a complete question bank.
The solved questions answers in this Olympiad Test: Lines and Angles quiz give you a good mix of easy questions and tough questions. Class 7
students definitely take this Olympiad Test: Lines and Angles exercise for a better result in the exam. You can find other Olympiad Test: Lines and Angles extra questions,
long questions & short questions for Class 7 on EduRev as well by searching above.

QUESTION: 1

In a right angled triangle where angle A= 90° and AB=AC. What are the values of angle B.

Solution:

∵ In ∆ABC,

AB = AC

∴ ∠B = ∠C ...(1)

| Angles opposite to equal sides of a triangle are equal

In ∆ABC,

∠A + ∠B + ∠C = 180°

| Sum of all the angles of a triangle is 180°

⇒ 90° + ∠B + ∠C = 180°

| ∵ ∠A = 90° (given)

⇒ ∠B + ∠C = 90° ...(2)

From (1) and (2), we get

∠B = ∠C = 45°.

QUESTION: 2

In figure pair of alternate exterior angles are :

Solution:

QUESTION: 3

What is the supplement of 105°

Solution:

Supplementary angles sums up to 180° x + 105° = 180° x=180° - 105° = 75°

QUESTION: 4

What is the measure of the complement of 45°?

Solution:

Complementary angle sums up to 90°. So x+ 45° = 90°

x = 90° - 45° = 45°

QUESTION: 5

What is the measure of the complement of 65^{°}?

Solution:

QUESTION: 6

What is the measure of the complement of 41^{°}?

Solution:

Let the angle be x°

then,complement°=(90-x)°

A/Q,

x=(90-41)

x=90-41

x=49

QUESTION: 7

What is the measure of the supplement of 54^{°}?

Solution:

QUESTION: 8

Identify which of the following pairs of angles are complementary.

Solution:

QUESTION: 9

Identify which of the following pairs of angles are supplementary.

Solution:

QUESTION: 10

Find the angle, which is equal to its complement.

Solution:

Let one of the two equal complementary angles be x.

Thus, 45^{o }is equal to its complement.

QUESTION: 11

Lines l║m, t is transversal then ∠ x ?

Solution:

QUESTION: 12

Find the angle, which is equal to its supplement.

Solution:

Supplementary angles sums up to 180° since 90° + 90° = 180°, 90° is supplementary to itself

QUESTION: 13

Lines l║m, t is transversal then ∠ x = ?

Solution:

120 and x are corresponding angles and corresponding angles are equal so x = 120^{°}

QUESTION: 14

Lines l║m, t is transversal then ∠ z = ?

Solution:

The angles are co-interior so x+60 = 180

x=120^{°}

QUESTION: 15

Lines l║m, t is transversal then ∠ x = ?

Solution:

QUESTION: 16

ABC is a right angled triangle in which ∠A = 90° and AB = AC. Find ∠B and ∠C.

Solution:

Given,

∠A = 90° and AB = AC

A/q,

AB = AC

⇒ ∠B = ∠C (Angles opposite to the equal sides are equal.)

Now,

∠A + ∠B + ∠C = 180° (Sum of the interior angles of the triangle.)

⇒ 90° + 2∠B = 180°

⇒ 2∠B = 90°

⇒ ∠B = 45°

Thus, ∠B = ∠C = 45°

QUESTION: 17

The measures of an angle supplement to the angle of 70° is ______.

Solution:

QUESTION: 18

Find the angle whose measure is five times its complement

Solution:

This will be the equation x=5(90-x)

solution= x=5(90-x)

x+5x=90

6x=90

6x/6=90/6 {divide by 6 to both the side to x}

x=15

ans= The angle is 15 degree and its compliment angle is 75 degree

QUESTION: 19

Find x if I║m.

Solution:

QUESTION: 20

Find the value of x if I║m.

Solution:

### Congruency of angles and lines - Lines & Angles

Video | 06:13 min

### Review of lines and angles - Lines & Angles

Video | 05:44 min

### Topics in Lines and Angles - Lines & Angles

Video | 02:49 min

### Lines and Angles

Doc | 1 Page

- Olympiad Test: Lines And Angles
Test | 20 questions | 40 min

- Olympiad Test: Lines and Angles
Test | 20 questions | 20 min

- Test: Lines And Angles- 1
Test | 25 questions | 25 min

- Test: Lines, Angles & Triangles - 1
Test | 10 questions | 10 min

- Important Questions: Lines and Angles
Test | 20 questions | 20 min