Question

What is the answer to this

Answer 1

Hello!

The angle is a right angle, which measures 90°. 

3x + x = 4x

Angle = 4x + 10 = 90

Switch that around

90 - 10 = 4x

90 - 10 = 80

80 = 4x

Divide by 4

$\frac{80}{4} = \frac{4x}{4}$]

$\framebox{x = 20 \°}$

Answer 2

Hello !

The angles x° and (3x+10)° result a right angle,because the first and the third line are perpendicular.

The measure of a right angle is 90°

So : x° + (3x+10)° = 90

       x + 3x + 10 = 90

       4x + 10 = 90  | -10

       4x + 10 - 10 = 80

       4x = 80 | : 4

         4x:4 = 80:4

            x = 20°