Question

Find the measure of the exterior angle.

2aº
(a + 10)
44°
What is the measure of the exterior angle?

Answer 1

108°

Explanation:

1) Find a

180 - 44 = 136 (angles in a triangle add to 180° - the sum of the other 2 angles must be 136°)

Angles on a straight line add up to 180° so 2a + x = 180° → x = 180 - 2a

(a + 10) + (180 - 2a) = 136

-a + 190 = 136

-a = 136 - 190

-a = -54

a = 54°

If a = 54°, then 2a = 54 × 2 = 108°

Hope this helps!