Question

In the figure, j∥k and m∠2 = 117°. What is the m∠3 ? Enter your answer in the box.

Answer 1

180- 117= 63 Because they are supplementary angles. 

Answer 2

measure of the ∠3 is 63°.

Explanation:

Given: j is parallel to k and t is the transversal and measure ∠2=117°.

To find: The measure of ∠3

Solution: It is given that the measure of ∠2 is 117° and from the figure, it can be seen that the ∠2 and ∠3 forms a linear pair, thus

⇒∠2 +∠3=180°

⇒117°+∠3=180°

⇒∠3=180-117

⇒∠3=63°

Therefore, the measure of the ∠3 is 63°.