Respuesta :

We first need to find the sum of the interior angles in a pentagon, which you do by doing (5 - 2) × 180, which equals 3 × 180 = 540°. Now you know that all of the angles inside the shape must add up to 540, so you can make an equation:
90 + 112 + 2x + 148 + 2x + 10 = 540
360 + 4x = 540
- 360
4x = 180
÷ 4
x = 45

I hope this helps!
(5-2) * 180 =540
540= 2x+10 +2x+148+112+90 
540 4x+360
-360     -360 
180=4x
/4     /4        x=45