Question

14. What is the measure of angle wº? Show all work.

Answer 1

100 degrees

Explanation:

We can start by finding angle y, which is supplementary to 160.

180-160=20

angle y = 20 degrees.

With that, we can find angle w using the interior-exterior sangle theorem (or whatever name you use for it) which states that "the measure of an exterior angle of a triangle equals the sum of the measures of two remote interior angles". In other words:

angle w = angle y + 80

angle w = 20+80

angle w = 100.

The final answer is 100 degrees.

I hope this helped! :D

Answer 2

Hello,

w=100

Explanation:

y=180-160 (angles supplementaries)

y=20

w is a externel angle of the triangle is equal to the sum of non adjacents angles:

w=80+20=100