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

Answer:

Option A. $115\°$

Step-by-step 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

$540\°=425\°+y\°$

$y=540\°-425\°=115\°$