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hoangpm04

Answer:

z would equal 20°

Step-by-step explanation:

This means ACB and EFD are 2 similar triangles

They have the same shape but different size

In ACB because 3 corner of a traingle must = 180° so in this case, corner BAC would = 180 - 65 - 55 = 60°

As you can see, BC is 3 times as large as DF, this means triangle ACB is larger than triangle EFD 3 times, this would lead to corner BAC is larger than corner DEF 3 times.

Corner DEF would = corner BAC / 3

= 60° / 3

= 20°

SO z would equal 20°

Hope this helped :3

Answer:

z = 60°

Step-by-step explanation:

Since the triangles are similar the corresponding angles are congruent, thus

∠E = ∠A

The sum of the 3 angles in a triangle = 180°

Sum the 2 given angles in ΔABC and subtract from 180 for ∠A

65 + 55 + ∠A = 180

120 + ∠A = 180 ( subtract 120 from both sides )

∠A = 60°, hence

z = ∠A = 60°

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