in the figure, ∠4 is an exterior angle to [] aul .

(a) explain why m∠4 is equal to the sum of the measures of the two nonadjacent interior angles.
(b) what is m∠4 ?

In the figure, ∠4 is an exterior angle to AUL.

∠4 =  77°

∠4 = ∠1 +∠2

∠1 +∠2 = 52° +25° = 77°

Substitute the value that we alreay know to find ∠3.

⇒ 77° + ∠3 = 180°

⇒ ∠3 = 180° - 77° = 103°

∠4 is equal to the measures of two nonadjacent interior angles, the sum of angles is always 180° so ∠1 +∠2 + ∠3 = 180°. In summary ∠4=sum of the measures of the two nonadjacent interior angles.

Hope this helps, have a BLESSED AND WONDERFUL DAY! As well as a great Black History Month and Valentine's day! :-)

- Cutiepatutie ☺❀❤

answer: -8.2562234e+13