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Transversal c intersects the parallel lines, an and b, in the picture below. What is the value of x

Transversal c intersects the parallel lines, an and b, in the picture below. What-example-1
User Stansult
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Since lines a and b are parallel, and transversal c intersects them, we know that the alternate interior angles are equal. Therefore, angle (x+3) degrees is equal to 99 degrees. Solving for x, we get x = 96 degrees.

Parallel lines: Parallel lines are two lines that never intersect, no matter how far they are extended.

Transversal line: A transversal line is a line that intersects two or more parallel lines.

Alternate interior angles: Alternate interior angles are pairs of angles that are located on opposite sides of the transversal line and inside the parallel lines.

In the image, lines a and b are parallel, and transversal c intersects them.

Angle (x+3) degrees and 99 degrees are alternate interior angles, so they are equal.

This means that we can set up the following equation:

x + 3 = 99

Subtracting 3 from both sides of the equation, we get:

x = 99 - 3

x = 96

Therefore, x = 96 degrees.

User Srujan Reddy
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