Question

What is the degree measure of angle YXZ?

Answer 1

C

Step-by-step explanation:

Using Triangle Angle Sum Theorem, X + Y + Z = 180

Using Substitution, 3x + 2x + 5x = 180

10x = 180

x = 18

m(YXZ) = 3x = 3 * 18 = 54

Answer 2

According the the "Triangle Sum Theorem', a triangles interior angels add up to 180 degrees.

Therefore, we should add all the given angles (which equal to 180 degrees):

*We want to find the variable, NOT a missing angle*

3x + 5x + 2x = 180°

Combine the like terms:

10x = 180°

Divide by 10 on both sides to get rid of whats beside the 'x':

x = 18°

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Now, whats the degree measure of angle YXZ?

Substitute!

3* (18) = 54°

So the correct answer is C)

Hope I helped!