If two lines intersect and form angles of 120 degrees and x degrees, what is the

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Question: If two lines intersect and form angles of 120 degrees and x degrees, what is the value of x? (2022)

Options:

Correct Answer: 60 degrees

Exam Year: 2022

Solution:

The angles formed by intersecting lines are supplementary. Therefore, 120 + x = 180, which gives x = 60 degrees.

If two lines intersect and form angles of 120 degrees and x degrees, what is the value of x? (2022)

If two lines intersect and form angles of 120 degrees and x degrees, what is the value of x? (2022)

Step 1: Understand that when two lines intersect, they form four angles.
Step 2: Recognize that the angles opposite each other are equal.
Step 3: Identify that the angles next to each other are supplementary, meaning they add up to 180 degrees.
Step 4: In this case, one angle is 120 degrees and the other angle is x degrees.
Step 5: Set up the equation: 120 + x = 180.
Step 6: Solve for x by subtracting 120 from both sides: x = 180 - 120.
Step 7: Calculate the result: x = 60 degrees.

Supplementary Angles – When two angles are supplementary, their measures add up to 180 degrees.
Intersecting Lines – When two lines intersect, they form pairs of opposite angles that are equal and adjacent angles that are supplementary.