Question

Using the picture below, write and solve an equation to find x. Then, find the measures of the two angles.

Answer 1

4x+12 = 52

4x-2 = 38

Explanation:

The given angle is a right angle which is 90 degrees. The two angles add to 90 degrees.

(4x+12) + ( 4x-2) = 90

Combine like terms.

8x+ 10 = 90

Subtract 10 from each side.

8x+10-10 = 90-10

8x = 80

Divide each side by 8

8x/8 = 80/8

x = 10

Finding the measure of each angle:

4x+12 = 4(10) +12 = 40+12 = 52

4x-2 = 4(10) - 2 = 40-2 = 38