Question

In the diagram, the measure of Z1 is 55°. If line y is rotated 5° clockwise about the pointof intersection, what is the new measure of Z3?2130120°5060

Answer 1

Answer

60°

Step-by-step explanation

In the beginning, the measure of angle 1 is 55°.

After line y is rotated 5° clockwise about the point of intersection, the measure of angle 1 is 60° (= 55° + 5°).

Given that angles 1 and 3 are vertical angles, then they are congruent, that is,

$\begin{gathered} m\angle3=m\angle1 \\ m\operatorname{\angle}3=60\text{ \degree} \end{gathered}$