Answer: A) [tex]60^{\circ}[/tex]
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
[tex]\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}[/tex]
The angle sum property of a triangle says that, the sum of all the angles in a triangle is [tex]180^{\circ}[/tex].
