Question

The measures of the angles of a triangle are

50°, 35°, and 95°. What is the measure of the
largest exterior angle of the triangle? (Hint:
extend your triangle lines to make
supplementary angles)

Answer 1

The measure of the largest exterior angle of the triangle is 85°.

Step-by-step explanation:

The largest exterior angle of a triangle is formed by extending one side of the triangle and finding the angle between the extended side and the adjacent side (the interior angle). In this case, to find the largest exterior angle, we can extend the side with the measure of 95°. The interior angles of a triangle add up to 180°, so when we extend the side with the measure of 95°, the interior angle formed is 180° - 95° = 85°.

Learn more about Triangle angles