Question

Suppose m∠YES = 113°

Part A: What is the measure of the angle complement of ∠YES?

Part B: What is the measure of the angle supplement of ∠YES?

Answer 1

By definition, complementary angles add up to 90°

Let

`x`
be the complement of 113°

Then,


`x + 113 \degree = 90 \degree`



`x = 90 - 113 = - 23 \degree`


By definition supplementary angles also add up to 180°

Let

`y`
be the supplement of 113°



Then,


`y + 113 = 180`

`y = 180 - 113 = 67 \degree`
Hence the supplement of m<YES=67°