Question

1. given the information below, and that the green line is a perpendicular bisector of the goal line, what are the measures of angles 1, 2, and 4?

Explanation:

Step1: Use perpendicular - line property

Since the green line is a perpendicular bisector of the goal - line, the angle formed by the green line and the goal - line is $90^{\circ}$.

Step2: Find angle 1

Angle 1 and the $60^{\circ}$ angle are complementary (because they form a right - angle with the perpendicular line). So, $\angle1=90^{\circ}-60^{\circ}=30^{\circ}$.

Step3: Find angle 2

Angle 1 and angle 2 are vertical angles. Vertical angles are equal. So, $\angle2 = \angle1=30^{\circ}$.

Step4: Find angle 4

Angle 4 and the $60^{\circ}$ angle are vertical angles. Vertical angles are equal. So, $\angle4 = 60^{\circ}$.

Answer:

$30^{\circ},30^{\circ},60^{\circ}$