Question

A triangle with exterior angles is shown. A triangle sits on a line and forms 2 exterior angles on the left and right of the triangle of (2 h) degrees. The top interior angle of the triangle is 40 degrees.
What is the value of h?

h = 20
h = 35
h = 55
h = 70

Answer 1

Each exterior angle is 2h, so each corresponding interior angle is 180 − 2h. Sum of interior angles:
40 + (180 − 2h) + (180 − 2h) = 180
400 − 4h = 180 → 4h = 220 → h = 55.

Answer: h = 55.