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select the correct answer. which angles are congruent? a. ∠def and ∠jkl…

Question

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

Explanation:

Step1: Recall the definition of congruent angles

Congruent angles are angles that have the same measure.

Step2: Check the measure of each angle

  • For \(\angle DEF\), its measure is \(45^{\circ}\).
  • For \(\angle JKL\), its measure is \(45^{\circ}\).
  • For \(\angle GHI\), its measure is \(30^{\circ}\).
  • For \(\angle ABC\), its measure is \(120^{\circ}\).

Answer:

A. \(\angle DEF\) and \(\angle JKL\)