Question

1
select the correct answer.
which angles are congruent?
a. ∠abc and ∠ghi
b. ∠ghi and ∠jkl
c. ∠abc and ∠def
d. ∠def and ∠ghi

Explanation:

Step1: Recall the definition of congruent angles

Congruent angles are angles that have the same measure.

Step2: Analyze each option

• Option A: \( \angle ABC = 30^{\circ}\), \( \angle GHI=45^{\circ}\). Since \(30

eq45\), they are not congruent.

• Option B: \( \angle GHI = 45^{\circ}\), \( \angle JKL = 90^{\circ}\). Since \(45

eq90\), they are not congruent.

• Option C: \( \angle ABC=30^{\circ}\), \( \angle DEF = 45^{\circ}\). Since \(30

eq45\), they are not congruent.

• Option D: \( \angle DEF=45^{\circ}\), \( \angle GHI = 45^{\circ}\). Since \(45 = 45\), they are congruent.

Answer:

D. \( \angle DEF\) and \( \angle GHI\)