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

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 Valentine's day! :-)

- Cutiepatutie ☺❀❤

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