Answer/Step-by-step explanation:
Sum of the interior angles of quadrilateral = (n - 2)180 = 4 - 2(180) = 2(180) = 360°
m<ABC = 4xâ—¦,
m<BCD = 3xâ—¦,
m<CDA = 2xâ—¦,
m<DAB = 3xâ—¦.
Therefore, the following equation can be written to solve for x:
4x + 3x + 2x + 3x = 360
12x = 360°
To solve for x, divide both sides by 12
12x/12 = 360/12
x = 30
Plug in the value of x to find the measures of each interior angle:
m<ABC = 4x = 4(30) = 120°
m<BCD = 3x = 3(30) = 90°
m<CDA = 2x = 2(30) = 60°
m<DAB = 3x = 3(30) = 90°