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.