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Greg is constructing a fence that consists of parallel sides ED and FB. Complete the proof to explain how he can show that m/FAC = 121° by finding the missing justifications.
ED FB
mzECG= 121"
Statement
Justification
Given
Linear Pair Postulate
1.
mzECG + mzECA = 180°
mzFAC+ mzECA = 180°
mzECG+ mzECA= mzFAC+ mzECA Transitive Property
mzECG= mzFAC
Subtraction Property
mzFAC = mzECG
Symmetric Property
m 2.
01. Corresponding Angles Theorem; 2. Definition of Supplementary Angles
O 1. Definition of Supplementary Angles; 2. Corresponding Angles Theorem
O 1. Same-Side Interior Angles Theorem; 2. Substitution Property
O1. Substitution Property; 2. Same-Side Interior Angles Theorem

Respuesta :

akposevictor

1. Based on the same-side interior angles theorem, the missing justification is same-side interior angles theorem.

2. Substitution property.

What is the Same-side Interior Angles Theorem?

According to the same-side interior angles theorem, the consecutive interior angles on one side of the transversal are supplementary angles, that is they have a sum of 180 degrees.

In the given proof, m∠FAC + m∠ECA = 180 based on the same-side interior angles theorem.

Lastly the substitution property was applied to get m∠FAC = 121°, since mECG = 121°.

Learn more about the same-side interior angles theorem on:

https://brainly.com/question/16976757

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