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Please Help 25 points and brainliest ASAP (((((((:
Suppose △ABC≅△XYZ, m∠A=50°, and m∠Y=70°.



What is m∠C?



50º
60º
70º
110º

Please Help 25 points and brainliest ASAP Suppose ABCXYZ mA50 and mY70 What is mC 50º 60º 70º 110º class=

Respuesta :

wegnerkolmp2741o

Answer:

60

Step-by-step explanation:

We are given the triangles are congruent, that means the angles are the same measurement

<A = <X

<B = <Y

<C = <Z

We know A = 50  so X = 50

We know <Y = 70 so < B = 70

The three angles of a triangle add to 180

<A + <B + <C = 180

Substituting into the equation

50 + 70 + <C = 180

Combining like terms

120 + <C =180

Subtracting 120 from each side

120-120 +<C =180-120

<C = 60

Answer:

∠C = 60°

Step-by-step explanation:

Corresponding angles are congruent, thus

∠B = ∠Y = 70°

The sum of the 3 angles in ΔABC = 180°

∠C = 180° - (70 + 50)° = 180° - 120° = 60°

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