Question

∠1 and an angle that measures 50° are supplementary. Another angle that measures 50° and ∠3 are supplementary. Show that m∠1 and m∠3 are equal.

Answer 1

1. <1 + 50 = 180

< 1= 130

2. <3 + 50= 180

<3 = 130

Explanation:

Answer 2

Since this is the proof I will only do explanation:

Explanation:

If m∠1=a and m∠3=b:

a+50°=180° because they are supplementary

and b+50°=180° because they are supplementary

Because of this:

a+50°=b+50°=180°

Subtract 50°:

⇒ a=b=130°

They are equal and they equal 130°