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The sum of the measures of angles X and Y is 180 degrees. The measure of angle X is 24 degrees greater than the measure of angle Y. Define the variables, and write equations for this situation.

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Answer:

The measure of angle x is 102 degrees and the measure of angle y is 78 degrees

Explanation:

we know that


x+y=180\° -----> equation A (supplementary angles)


x=y+24\° ----> equation B

Solve the system by substitution

substitute equation B in equation A


y+24\°+y=180\°

Solve for y


2y+24\°=180\°


2y=180\°-24\°


2y=156\°


y=78\°

Find the measure of angle x


x=102\°=

therefore

The measure of angle x is 102 degrees and the measure of angle y is 78 degrees

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