Question

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°

Answer 1

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

Answer 2

Answer: A)
`60^(\circ)`

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)\\\\\Rightarrow\ 50^(\circ)+70^(\circ)+\angle{C}=180^(\circ)\\\\\Rightarrow\ 120^(\circ)\angle{C}+=180^(\circ)\\\\\Rightarrow\ \angle{C}=180^(\circ)-120^(\circ)\\\\\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)`.