Question

Solving for Exterior Angles of a Right Triangle
A triangle. The sides of the triangle extend to form exterior angles. Z degrees is the exterior angle of 44 degrees. X degrees in the exterior angle of 90 degrees. Y degrees is the exterior angle of the third blank angle.

What is the measure of each exterior angle of the right triangle?

x =
°
y =
°
z =
°

Answer 1

The interior angles are 90°, 44°, and 46° (since 180 − 90 − 44 = 46). Each exterior angle = 180° − its interior angle, so

x = 180 − 90 = 90°
y = 180 − 46 = 134°
z = 180 − 44 = 136°