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1. which angles would also be 132°?

Question

  1. which angles would also be 132°?

Explanation:

Step1: Identify vertical - angles

Vertical angles are equal. Angle 1 and the given 132 - degree angle are vertical angles, so $\angle1 = 132^{\circ}$.

Step2: Identify corresponding - angles

Corresponding angles are equal when two parallel lines are cut by a transversal. The angle corresponding to the given 132 - degree angle (in the same relative position with respect to the parallel lines and the transversal) is also 132 degrees. If we assume the lines are parallel, the angle that is corresponding to the given 132 - degree angle among the numbered angles will be equal to it. Also, the vertical - angle of the corresponding angle will be 132 degrees. Angle 5 is the corresponding angle to the given 132 - degree angle, so $\angle5=132^{\circ}$, and angle 7 is the vertical angle of angle 5, so $\angle7 = 132^{\circ}$.

Answer:

$\angle1,\angle5,\angle7$