Question

Consider the diagram below where measure of angle CDE=127 degrees.

Select all of the statements that are true.
A. measure of angle EDF=53 degrees

B. measure of arch EGD=127 degrees

C. measure of arch ED=106 degrees

D. measure of angle GAE=53 degrees

E. measure of arch EGD=254 degrees

Answer 1

A, C, and E.

Explanation:

thats just the answer. i dont make the rules.

Answer 2

The statements A and D are true.

Based on the diagram, here are the true statements:

A. measure of angle EDF=53 degrees:

This is true because angle EDF and angle CDE are supplementary angles, meaning they add up to 180 degrees.

Since we're given that measure of angle CDE=127 degrees, we can find measure of angle EDF by subtracting 127 from 180:

measure of angle EDF = 180 degrees - 127 degrees = 53 degrees.

D. measure of angle GAE=53 degrees:

This is true because angle EDF and angle GAE are corresponding angles.

Corresponding angles are pairs of angles that are on opposite sides of a transversal and that share a common endpoint with the transversal.

They are equal in measure.

Since we've already determined that measure of angle EDF=53 degrees, we can conclude that measure of angle GAE=53 degrees as well.

Therefore, the statements A and D are true.