Question

i can determine if angles are congruent based on its properties (8.g.a.1.a)

1. line ce and ad intersect at b.

select all the true statements
a. the measure of angle cba is equal to the measure of angle dbe.
b. the sum of the measure of angles cba and dbe is 180 degrees.
c. the measure of angle cbd is equal to the measure of angle abe.
d. the sum of the measure of angles cbd and cba is 180 degrees.
e. the sum of the measure of angles cba and dbe is 90 degrees.
explain one of your choices with correct vocabulary.

Explanation:

Step1: Recall vertical - angle property

Vertical angles are congruent. ∠CBA and ∠DBE are vertical angles, and ∠CBD and ∠ABE are vertical angles.

Step2: Recall linear - pair property

A linear pair of angles is supplementary (sum to 180°). ∠CBD and ∠CBA form a linear pair.

Answer:

a. The measure of angle CBA is equal to the measure of angle DBE (True, vertical angles are congruent).
c. The measure of angle CBD is equal to the measure of angle ABE (True, vertical angles are congruent).
d. The sum of the measure of angles CBD and CBA is 180 degrees (True, they form a linear pair).