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which angles are congruent to each other? ∠16 and ∠14 ∠10 and ∠6 ∠15 an…

Question

which angles are congruent to each other?
∠16 and ∠14
∠10 and ∠6
∠15 and ∠11
∠11 and ∠3

Explanation:

Step1: Recall the definition of congruent angles

Congruent angles are angles that have the same measure.

Step2: Analyze ∠16 and ∠14

∠16 and ∠14 are adjacent angles and form a linear pair (sum to \(180^{\circ}\)), so they are not congruent.

Step3: Analyze ∠10 and ∠6

∠10 and ∠6: There is no direct relationship (like vertical angles, corresponding angles, alternate - interior/exterior angles) that would make them congruent.

Step4: Analyze ∠15 and ∠11

∠15 and ∠11: There is no direct relationship (like vertical angles, corresponding angles, alternate - interior/exterior angles) that would make them congruent.

Step5: Analyze ∠11 and ∠3

∠11 and ∠3 are corresponding angles. When two parallel lines are cut by a transversal, corresponding angles are congruent.

Answer:

\(\angle11\) and \(\angle3\)