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.
[tex]x + x + (2x + 3) + (2x + 3) = 360[/tex]
Work out the parenthesis.
[tex]x + x + 2x + 3 + 2x + 3 = 360[/tex]
Collect the terms.
[tex]6x + 6 = 360[/tex]
Subtract 6 from both sides.
[tex]6x = 354[/tex]
Divide both sides by 6.
[tex]x = \frac{354}{6} = 59[/tex]
Therefore, the value of x = 59°.
