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

Opposite interior angles have to equal 180*, so.

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

Answer 2

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.

$x = \frac{354}{6} = 59$
Therefore, the value of x = 59°.