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3 years ago

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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Nikitich [7]

Answer:

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Step-by-step explanation:

Quadratic Equation given:

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Start dividing both sides by 6.

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Once, $\left( \frac{2}{3} \cdot \frac{1}{2} \right)^2=\frac{1}{9}$

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Then,

$x+\frac{1}{3} =\pm\frac{\sqrt{34} }{6}$

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Gelneren [198K]

3 = 10%
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timofeeve [1]

Answer:

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Step-by-step explanation:

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