Question

Complete the proof. Someone please help me answer this!

Answer 1

Explanation:

Supplementary angles are two or more angles that add up to give the measure of angle on a straight line (i.e
`180^(o)`).

It can be deduced from the given question that;

1. <1 and <2 are supplementary, also <1 and <3 are supplementary. Reason: as given in the question.

2. Given statements: m<1 + m<2 =
`180^(o)`, and m<1 + m<3 =
`180^(o)`. The reason is the definition of supplementary angles.

3. Statement: m<2 = m<3. The reason is a transitive property.

4. Statement: m<1 + m<2 = m<1 + m<3. The reason is subtraction property of equality.

5.Given statement: <2 ≅ <3. The reason is that definition of congruent angles.

Therefore, <2 ≅ <3.