Two straight lengths of wire are placed on the ground, forming vertical angles. If the measure of one angles formed is 72 degrees, what are the measures of the other three angles. Explain your answer.

My answer-- Vertical angles are congruent and if the measure of 1 of the angles is 72 degrees and straight lines equal 180 degrees you have to subtract 72 from 180 which equals 108. So the measures of the other three angles are 108, 108 and 72.

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Hi

Your answer is correct! To explain further, when two straight lines intersect, they form four angles called vertical angles. Vertical angles are always congruent, which means they have the same measure.

Given that one of the vertical angles measures 72 degrees, we can determine the measure of the other three angles. Since the sum of the measures of the angles in a straight line is 180 degrees, we can subtract the given angle measure of 72 from 180 to find the remaining measure.

180 - 72 = 108

So, each of the other three angles has a measure of 108 degrees. Therefore, the measures of the other three angles are 108, 108, and 72 degrees.

correct, if somewhat murky.