Question

which angles are congruent?

a. ∠def and ∠ghi
b. ∠abc and ∠ghi
c. ∠def and ∠jkl
d. ∠abc and ∠jkl

Explanation:

Step1: Recall the definition of congruent angles

Congruent angles are angles that have the same measure.

Step2: Find the measure of each angle

• $\angle DEF = 90^{\circ}$ (right - angle)
• $\angle ABC=120^{\circ}$
• $\angle GHI = 120^{\circ}$
• $\angle JKL = 45^{\circ}$

Step3: Compare the measures

Since $\angle ABC = 120^{\circ}$ and $\angle GHI=120^{\circ}$, $\angle ABC$ and $\angle GHI$ have the same measure.

Answer:

B. $\angle ABC$ and $\angle GHI$