The sum of the interior angles of a trapezoid is 360 degrees.
So,
4x + 3x + 2x + x = 360
10x = 360
x = 36
Now, find the measure of each angle:
E = x = 36 degrees
F = 2x = 2(36) = 72 degrees
G = 3x = 3(36) = 108 degrees
H = 4x = 4(36) = 144 degrees
Therefore, the smallest angle in the trapezoid is 36 degrees.
Solve for the measurement of the smallest angle in the trapezoid shown.
H 4x
G 3x
F 2x
E x
1 answer