If two lines intersect and one of the angles formed is 120 degrees, what is the

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Question: If two lines intersect and one of the angles formed is 120 degrees, what is the measure of the vertically opposite angle? (2022)

Options:

Correct Answer: 120 degrees

Exam Year: 2022

Solution:

Vertically opposite angles are equal. Therefore, the vertically opposite angle is also 120 degrees.

If two lines intersect and one of the angles formed is 120 degrees, what is the measure of the vertically opposite angle? (2022)

If two lines intersect and one of the angles formed is 120 degrees, what is the measure of the vertically opposite angle? (2022)

Step 1: Understand that when two lines intersect, they form four angles.
Step 2: Identify that angles that are opposite each other at the intersection are called vertically opposite angles.
Step 3: Remember that vertically opposite angles are always equal in measure.
Step 4: Since one of the angles is given as 120 degrees, the angle directly opposite to it is also 120 degrees.
Step 5: Conclude that the measure of the vertically opposite angle is 120 degrees.

Vertically Opposite Angles – When two lines intersect, the angles opposite each other are equal.