Question

8. Two straight lengths of wire are placed on the ground, forming vertical angles. If the measure (3 points)

of one of the angles formed is 72°, what are the measures of the other three angles? Explain
your answer.

Answer 1

Answers are 72 and 108 and 108

See attachment

72 was given, and it is a vertical angle so it’s vertical angle is congruent (same) 72.

You can find the other missing angles with supplementary angle theory, two angles will equal 180 degrees, so 180 - 72 = 108.
The 108 angle is also a vertical angle so it’s vertical angle is also 108 degrees.