Question

The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.

What is the value of x?

Enter your answer in the box.

Answer 1

Hi there! The answer is x = 59°

"The interior angles formed by the sides of a quadrilateral have measures that sum to 360°." This means that the sum of the four angles (which are represented by x) adds up to 360.


`x + x + (2x + 3) + (2x + 3) = 360`
Work out the parenthesis.


`x + x + 2x + 3 + 2x + 3 = 360`
Collect the terms.


`6x + 6 = 360`
Subtract 6 from both sides.


`6x = 354`
Divide both sides by 6.


`x = (354)/(6) = 59`
Therefore, the value of x = 59°.

Answer 2

Opposite interior angles have to equal 180*, so.

3x + 3 = 180 3x = 177 177 / 3 = 59. x = 59