In a triangle, an exterior angle equals 7/5 of one interior opposite angle, and the other interior opposite angle is 30°. Find the exterior angle.

Question

Accepted Answer

105. Let exterior = E, first interior opposite = a, so E = 7/5a and E = a + 30. Then 7/5a = a + 30, 2/5a = 30, a = 75. E = 75 + 30 = 105°.

In a triangle, an exterior angle equals $\frac{7}{5}$ of one interior opposite angle, and the other interior opposite angle is 30°. Find the exterior angle.