Question

One of the interior angles of a triangle is equal to 30°, and one of the exterior angles is equal to 40°. Find the remaining interior angles of this triangle.

Answer 1

A triangle equals to 180°

40 + 30 = 70

180 - 70 = 110

The other remaining interior angles are 110°

Answer 2

The interior angles are 30°, 40° and 110°

Explanation:

One of the interior angles of a triangle is equal to 30° and one of the exterior angles is equal to 40°.

Interior angle whose exterior angle is equal to 40° = 180 - 40° = 140°

Total interior angle of triangle = 180°

Interior angle 1 + Interior angle 2 + Interior angle 3 = 180°

30° + 40° + Interior angle 3 = 180°

Interior angle 3 = 180 - 70 = 110°

The interior angles are 30°, 40° and 110°