Question

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?

Answer 1

Answer: 28

Step-by-step explanation: Took the quiz!

Answer 2

• 28°

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°