Question

PLEASE HELP!!

Write a paragraph to proof to show that if <1 and <2 are congruent supplementary angles, then <1 and <2 are right angles

Answer 1

Explanation:

Supplementary angles are two or more angles whose the addition of their measures add up to
`180^(o)`.

Given: <1 and <2.

<1 + <2 =
`180^(o)` (supplementary angles)

If <1 ≅ <2 (congruent property), then we have;

<1 + <1 =
`180^(o)`

2<1 =
`180^(o)`

<1 =
`(180)/(2)`

=
`90^(o)`

<1 =
`90^(o)`

So that since <1 and <2 are congruent, then;

<1 ≅ <2 ≅
`90^(o)`

Therefore if <1 and <2 are supplementary and congruent, then they are right angles.