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natima [27]
3 years ago
15

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

Mathematics
2 answers:
siniylev [52]3 years ago
7 0

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}.

MAVERICK [17]3 years ago
6 0
Ok so if they are similar that means equal angles so 50+70=120 then 180-120=60 so the answer is A. <span>#TeamAlvaxic</span>
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