Question

If ΔABC is similar to ΔDEF, the m∠A = 50°, and m∠E = 70°, what is m∠C?

Answer 1

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

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

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

Answer 2

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