Question

Note: Your teacher will grade your response to ensure you receive proper credit for your answer. 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

Since the wires are going to make an X, if one angle is 72 deg, then you know the angle directly opposite to it is also 72 deg. Looking at a single side of the x, you see there is a total 180 deg angle (72 + unknown angle), so the unknown angle is 180 - 72, and the angle directly opposite to it will be the same.