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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

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 Z321301205060 class=

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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,

[tex]\begin{gathered} m\angle3=m\angle1 \\ m\operatorname{\angle}3=60\text{ \degree} \end{gathered}[/tex]

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