In the figure, AB¯¯¯¯¯∥CD¯¯¯¯¯ and m∠1=120°. What is m∠5?
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Answer:
[tex]m\angle 5=120^{\circ}[/tex]
Step-by-step explanation:
We have been given that line AB is parallel to CD. The measure of angle 1 is 120 degrees. We are asked to find measure of angle 5.
We know that corresponding angles of parallel lines are always equal.
We can see that angle 5 corresponds to angle 1, therefore, measure of angle 1 will be equal to measure of angle of 5.
[tex]m\angle 5=m\angle 1[/tex]
[tex]m\angle 5=120^{\circ}[/tex]
Therefore, the measure of angle 5 is 120 degrees.