In Fig. 5.40, OR ⊥ OP. Name all the pairs of complementary angles

Solution:

Given, the figure represents four rays produced from a point O.

Also, OR ⊥ OP.

We have to find all the pairs of complementary angles.

When the sum of the measures of two angles is 90°, the angles are called complementary angles.

Since OR ⊥ OP, ∠ROP is a right angle which measures exactly 90 degrees.

∠ROP = 90°

So, ∠ROP = ∠ROQ + ∠QOP

From the figure,

∠QOP = x

∠ROQ = y

Therefore, the pair of complementary angles are ∠x and ∠y.

✦ Try This: If two angles are equal and complement to each other, then they are

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

NCERT Exemplar Class 7 Maths Chapter 5 Problem 80 (ii)

In Fig. 5.40, OR ⊥ OP. Name all the pairs of complementary angles

Summary:

In Fig. 5.40, OR ⊥ OP. All the pairs of complementary angles are ∠x and ∠y

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