Question

PLEASE HELP!!!!!

the figure shows a triangle with unknown angles.

which equation shows the relationship between the exterior angle and the interior angles?

A) m∠2=m∠1+m∠4
B) m∠2=m∠3+m∠4
C) m∠4=m∠1+m∠2
D) m∠4=m∠2+m∠3

PLEASE LOOK AT PICTURE!!!!!!

Answer 1

the answer is c

Explanation:

I just did it and got it correct

Answer 2

C)

Explanation:

∠3 and ∠4 are supplementary (add up to 180)

∠1 + ∠2 + ∠3 = 180 (sum of interior angles of a triangle is 180)

Therefore:

∠4 + ∠3 = ∠1 + ∠2 + ∠3 = 180 ∠3 drops out b/c it's added to both sides

∠4 = ∠1 + ∠2 choice C