Vertical angles are formed when two lines intersect. They are opposite angles and have equal measures. In this case, since one angle is given as 72°, the opposite angle will also measure 72°.
Now, let's analyze the other three angles.
1) Angle A: This is the angle formed by one of the straight lengths of wire and one of the vertical angles. Since vertical angles have equal measures, the measure of angle A will also be 72°.
2) Angle B: This is the angle formed by the other straight length of wire and the other vertical angle. Again, since vertical angles have equal measures, the measure of angle B will also be 72°.
3) Angle C: This is the angle formed by the two straight lengths of wire. It is opposite to angle A. Since angles A and C are opposite angles, they will have equal measures. So, angle C will also measure 72°.
Therefore, the measures of the other three angles are 72° each (A = 72°, B = 72°, C = 72°).
Geometry Essay
Two straight lengths of wire are placed on the ground, forming vertical angles. If the measure of or of the angles formed is 72°, what are the measures of the other three angles? Explain your answer
1 answer