Question

What is the reason for statement 7 of the two column proof?

1. Angle addition postulate 2. Ruler postulate
3. Angle congruence postulate
4. Linear pair postulate

Answer 1

Answer: Option 3. Angle congruence postulate

Solution:

If two angles are equal (Step 6. m<A=m<B), they are congruent

Answer 2

Answer: The reason for statement 7 is Definition of congruent angles.

Explanation:

The given question is asking us to prove <A and <B are congruent.

<A&<B are given as supplementary angles and <A measure is given as 90 degrees.

By substitution property of Equality m<A=m<B.

From definition of congruent angles that is Congruent Angles have the same angle

we can say <A≅<B.