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

m∠5 + m∠6 =180° (linear adjacent angles)

m∠2 + m∠3 = m∠6 (sum of alternate interior angles = exterior angle)

m∠2 + m∠3 + m∠5 = 180° (sum of angles of triangle = 180°)

Explanation: