Question

Solve for x.. please help

Answer 1

The answer for this problem is that x = 60°, or B. 

We can solve this problem by using our knowledge of quadrilaterals. In this problem, we need to know that the number of degrees in a quadrilateral is equal to 360, but, the formula to find the number of degrees in a polygon with n sides is (n-2) * 180. 

Now that we know that the sum of the angles if 360°, we can add all the angles and solve for x. The angles with the squares are 90°. 

2x° + x° + 90° + 90° = 360°

Get x by itself, combine like terms. 

3x° + 180° - 180° = 360° - 180°
3x° = 180°
x = 60°, or B.

Answer 2

∠Q and ∠S are both 90°. This means they add up to 180°, and ∠R and ∠P both add up to 180° as well (because this is a quadrilateral and all interior angles add up to 360°).

2x + x = 180
Combine like terms.

3x = 180
Divide both sides by 3.

x = 60
B) 60