Question

What is the measure of y? (Hint- find the sum of the interior angles first)

If the angles are 112° and 88° and 135° what is the measure of y?

A.115
B.540
C.205

Answer 1

Option A.
`115\°`

Explanation:

we know that

The sum of the interior angles in a polygon is equal to the formula

`S=(n-2)180\°`

where

n is the number of sides of polygon

In this problem we have

`n=5\ sides`

substitute the value in the formula

`S=(5-2)180\°=540\°`

so

`540\°=90\°+135\°+y\°+88\°+112\°`

Solve for y

`540\°=425\°+y\°`

`y=540\°-425\°=115\°`