Sean M.

asked • 10/11/17# Justification for each step in the geometric proofs

- Angle ABX is congruent to XBC
- the measure of angle ABX is congruent to the measure of angle XBC
- the measure of XBC=45 degrees
- the measure of ABX=45 degrees
- the measure of angle ABX plus the measure of XBC= the measure of ABC
- 45 degrees plus 45 degrees= the measure of ABC
- 90 degrees= the measure of ABC
- ABC is a right angle

A X

l /

l /

l /

l /

B-------C

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## 1 Expert Answer

Carol H. answered • 10/11/17

Tutor

4.9
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Experienced Mathematics Tutor w/ Master's Degree in Math

I drew my own diagram, which matches your statements.

1. Given

2. Your second statement should read "equals the measure of" - not "congruent to" Then the reason follows:

If two angles are congruent, then they have equal measure.

3. Given

4. Given

5. Angle Addition Property

6. Substitution Property

7. Arithmetic Addition

8. Definition of a right angle

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Mark M.

10/11/17