If ΔABC is similar to ΔDEF, the m∠A = 50°, and m∠E = 70°, what is m∠C?A) 60°
B) 70°
C) 90°
D) 120°

Answers

Answer 1
Answer:

Answer: A) 60^(\circ)

Step-by-step explanation:

Given: ΔABC is similar to ΔDEF

Therefore,

∠A=∠D=50°

∠B=∠E=70°

∠C=∠F

Using Angle sum property, in triangle ABC, we get

\angle{A}+\angle{B}+\angle{C}=180^(\circ)\n\n\Rightarrow\ 50^(\circ)+70^(\circ)+\angle{C}=180^(\circ)\n\n\Rightarrow\ 120^(\circ)\angle{C}+=180^(\circ)\n\n\Rightarrow\ \angle{C}=180^(\circ)-120^(\circ)\n\n\Rightarrow\ \angle{C}=60^(\circ)

The angle sum property of a triangle says that, the sum of all the angles in a triangle is 180^(\circ).

Answer 2
Answer: Ok so if they are similar that means equal angles so 50+70=120 then 180-120=60 so the answer is A. #TeamAlvaxic

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