The exterior angles of a triangle are given as 2x, 3x, and 4x. What is the measure of the smallest interior angle of the triangle?
Show answer & explanation
Correct answer: D
Explanation
Exterior angles = 2x, 3x, 4x
Sum of exterior angles of triangle = 360°
Interior angle = 180° − Exterior angle
2x + 3x + 4x = 360
9x = 360
x = 40
Exterior angles = 80°, 120°, 160°
Interior angles = 100°, 60°, 20°
20°