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

Answer 1

Vertical angles are always congruent, which means that they have the same measure. Therefore, if one of the angles formed is 72°, the measure of the other vertical angle is also 72°.

Additionally, vertical angles are formed when two lines intersect, and they are always opposite each other. This means that the other two angles formed from the intersection of the two straight lengths of wire will also be congruent to each other.

So, the measures of the other three angles are all 72°.