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25-09-2020
Mathematics

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Given:△ABC∼△DEF, ∠C is a right angle, AB=17, AC=15, BC=8, m∠B=62∘, DE=34, EF=16,and DF=30.

What is the measure of ∠D?

GivenABCDEF C is a right angle AB17 AC15 BC8 mB62 DE34 EF16and DF30What is the measure of D class=

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mhanifa mhanifa

25-09-2020

Answer:

28°

Step-by-step explanation:

We can see the scale factor is 2 from the side lengths:

8→16, 15→30, 17→34

Corresponding sides are:

AB and DE
AC and DF
BC and EF

Corresponding angles are opposite to corresponding sides:

∠C≅∠F
∠A≅∠D
∠B≅∠E

So

m∠A = 90° - 62° = 28°

Therefore

m∠D = 28°

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