Question

A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°

Answer 1

Answer: 3, 4, 5

Explanation:

(1) False, those two angles added together would be equal to angle 1, not 4.

(2) False. Angles 2, 3, 5 added together would make 180, not 3, 4, 5.

(3) True, an interior angle and its corresponding exterior angle are supplementary.

(4) True by the exterior angle theorem.

(5) True because the angles in a triangle add to 180 degrees