Two straight lines 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.
1 answer
Vertical angles are formed when two lines intersect. They are congruent, meaning they have the same measure. In this case, if one of the angles formed is 72 degrees, then the measure of the other vertical angle will also be 72 degrees. Additionally, the two remaining angles will each be supplementary to one of the vertical angles. This means that they will add up to 180 degrees. Therefore, the measures of the other three angles will be: 72 degrees, 72 degrees, and 180 degrees.