Question

Solve for x in the diagram below.

Answer 1

`x=20\textdegree`

Explanation:

The angle we have here is a right angle. Right angles have a total measure of 90°. Therefore, the two parts must equal 90°:

Thus, we have the equation:

`(x)+(3x+10)=90`

Combine like terms:

`4x+10=90`

Subtract 10 from both sides. The left side cancels:

`(4x+10)-10=90-10\\4x=80`

Divide both sides by 4. The left side cancels:

`(4x)/4=(80)/4\\x=20`

Thus, x is 20°.

Answer 2

x= 20

Explanation:

The two smaller angles add to 90 degrees

x + 3x +10 = 90

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