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 \(180^{\circ}\).
