Question

Solve for x in the diagram below.

Answer 1

x = 20

Explanation:

x and 3x + 10 form a right angle, then

x + 3x + 10 = 90

4x + 10 = 90 ( subtract 10 from both sides )

4x = 80 ( divide both sides by 4 )

x = 20

Answer 2

x = 20

Explanation:

The sum of the two angles is 90 degrees

x+3x+10 = 90

Combine like terms

4x+10 = 90

Subtract 10 from each side

4x+10-10 = 90-10

4x= 80

Divide each side by 4

4x/4 = 80/4

x = 20