Question

In the diagram, m∠1=13.5° and m∠3=82°.

What is m∠4?

Enter your answer as a decimal

Answer 1

95.5

Explanation:

∠4 is the exterior angle of the triangle

The exterior angle formed by extending the side of a triangle is the sum of the alternate interior angles

Here the alternate interior angles are ∠1 and ∠2

So

m∠4 = m∠1 + m∠3
= 13.5 + 82
= 95.5