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The measures of angles X and Y are the same, x degrees. The measure of angle Z is twice the measure of angle Y.

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Answer:

45, 45 and 90 degrees

Step-by-step explanation:

Complete question

The measures of angles X and Y are the same, x degrees. The measure of angle Z is twice the measure of angle Y. Find the measure of each angle

Let the sum of the angles be 180 degrees

X = x

Y = x

If Z is twice the measure of angle Y, then;

Z = 2x

Taking the sum

<X + <Y + <Z = 180

x+x+2x = 180

4x = 180

x = 180/4

x = 45

since Z = 2z

Z = 2*45

Z = 90

Hence the measure of the angles X, Y and Z are 45, 45 and 90 respectively

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