Question

I need help with problem 14

Answer 1

x = 50

Explanation:

The sum of the interior angles of a quadrilateral = 360°

sum the 4 angles and equate to 360

2x + 15 + 3x - 20 + x + x + 15 = 360 , that is

7x + 10 = 360 ( subtract 10 from both sides )

7x = 350 ( divide both sides by 7 )

x = 50

Answer 2

x = 50

Explanation:

The sum of the interior angles of a quadrilateral = 360°

Therefore, add together the expressions for all 4 angles, equal to 360, and solve for x:

(2x + 15) + (3x - 20) + x + (x + 15) = 360

Gather like terms: 2x + 3x + x + x + 15 - 20 + 15 = 360

Combine like terms: 7x + 10 = 360

Subtract 10 from both sides: 7x = 350

Divide both sides by 7: x = 50