In Fig. 5.39, P, Q and R are collinear points and TQ ⊥ PR. Name the four pairs of adjacent angles

Solution:

Given, P, Q and R are collinear points

Also, TQ ⊥ PR

We have to find the four pairs of adjacent angles.

Adjacent angles are the angles that have a common arm (side) and a common vertex, however, they do not overlap.

A linear pair is a pair of adjacent angles whose noncommon sides are opposite rays.

From the properties of adjacent angles, we know that

a. Adjacent angles always share a common arm.

b. They have a non-common arm on both sides of the common arm.

From the figure,

The pair of adjacent angles are

∠PQT and ∠TQR

∠PQS and ∠SQR

∠SQR and ∠SQT

∠SQT and ∠TQP

✦ Try This: The sum of two vertically opposite angles is 160°. Find each of the angles

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5

NCERT Exemplar Class 7 Maths Chapter 5 Problem 79 (c)

In Fig. 5.39, P, Q and R are collinear points and TQ ⊥ PR. Name the four pairs of adjacent angles

Summary:

In Fig. 5.39, P, Q and R are collinear points and TQ ⊥ PR. The four pairs of adjacent angles are ∠PQT, ∠TQR; ∠PQS, ∠SQR; ∠SQR, ∠SQT and ∠SQT, ∠TQP

☛ Related Questions:

• In Fig. 5.40, OR ⊥ OP. Name all the pairs of adjacent angles
• In Fig. 5.40, OR ⊥ OP. Name all the pairs of complementary angles
• If two angles have a common vertex and their arms form opposite rays (Fig. 5.41). Then, how many ang . . . .