Two lines intersect to form a linear pair with equal measures. One angle has the measure 2x° and the other angle has the measure (7y − 15)°. Find the values of x and y.

Answer 1

The sum of angles combining to form a linear pair is 180 degrees. If the two angles are both equal, the measure of each angle is 90 degrees.

2x = 90, x = 45

7y-15 = 90, y = 15