If two lines intersect and form angles of 40 degrees and x degrees, what is the

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Question: If two lines intersect and form angles of 40 degrees and x degrees, what is the value of x?

Options:

Correct Answer: 140 degrees

Solution:

The angles formed by intersecting lines are supplementary. Therefore, x = 180 - 40 = 140 degrees.

If two lines intersect and form angles of 40 degrees and x degrees, what is the value of x?

If two lines intersect and form angles of 40 degrees and x degrees, what is the value of x?

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 40 degrees and the other angle is x degrees.
Step 5: Set up the equation: 40 degrees + x degrees = 180 degrees.
Step 6: Solve for x by subtracting 40 degrees from both sides: x = 180 - 40.
Step 7: Calculate the result: x = 140 degrees.

Supplementary Angles – When two angles are formed by intersecting lines, they are supplementary if their measures add up to 180 degrees.