Question

In the above figure, lines l and m are parallel. What is the measure of angle R?
a)100°
b)120°
c)140°
d)160°​

Answer 1

The measure of R = 100°

Given:

Lines l and m are parallel.

To find:

The measure of angle R?

Solution:

Given that Lines l and m are parallel lines

Here

Measure of P = 60°

Measure of Q = 100°

Let Q' be the opposite angle of Q

Then measure of Q' = 360° - 100° = 160°

=> Measure of Q' = 160°

We need to find the measure of R

In this case,

Since Lines l and m are parallel lines

The measure of R = ∠Q' - ∠P

=> ∠R = 160° - 60°

=> ∠R = 100°  

Therefore,

The measure of R = 100°

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