Final answer:
To find the value of the unknown angle of the quadrilateral, set up the equation using the fact that the sum of the angles in a quadrilateral is equal to 360 degrees. Solve for x and substitute the value back into the equation to find the value of the unknown angle and we get x=62.5
Step-by-step explanation:
To find the value of the unknown angle of the quadrilateral, we need to use the fact that the sum of the angles in a quadrilateral is equal to 360 degrees.
Let's add up the known angles:
a + b + c + d + e = 2x + x + 110 + x + x
= 4x + 110
Since the sum of the angles in a quadrilateral is 360 degrees, we can set up the equation:
4x + 110 = 360
Solving for x, we have:
4x = 250
x = 62.5
Now we can substitute the value of x back into the equation to find the value of the unknown angle:
e = x = 62.5