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kiruha [24]
3 years ago
15

Determine whether the triangles are similar. or not.

Mathematics
1 answer:
mr Goodwill [35]3 years ago
7 0

Answer:

A

Step-by-step explanation:

We know that ∠ABE ≅ ∠DBC because they are vertical angles, so that's one pair of congruent angles. However, we can't compare ∠BAE and ∠DCB as they have different measures, so we'll have to find the measure of either ∠AEB or ∠BDC. Let's go with the former. Using the fact that the sum of the measures of the interior angles of a triangle is 180°, we know that m∠AEB=180-(53+42)=180-95=85°. Now, we know that ∠AEB ≅ ∠DCB because their measures are equal. That's another pair of congruent angles. Therefore, the angles are similar by AA. Hope this helps!

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