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For triangle XYZ, if m∠x = 52°, m∠y = (3x − 33)°, and m∠z = (5x − 23)°, what is m∠y?
a) 157°
b) 71°
c) 41°
d) 36°

Respuesta :

KurdishPotato

Answer:

36°

Step-by-step explanation:

  • The sum of interior angles in a triangle is equal to 180°.

To calculate the measure of m∠y, we can simply add all given measures up to find the value of x:

52 + 3x - 33 + 5x - 23 = 180

  • Add like terms.

8x - 4 = 180

  • Add 4 to both sides.

8x = 184

  • Divide both sides by 8.

x = 23

Now, replace x with 23 to calculate the measure of m∠y:

3×23 - 33 = 36

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