To find the measurement of the smallest angle in a trapezoid, we need to remember that the sum of all interior angles in a trapezoid is equal to 360 degrees.
In this case, the angles given are: A = 2x, B = x, C = 135 degrees, and D = 2x.
Setting up the equation:
A + B + C + D = 360
2x + x + 135 + 2x = 360
5x + 135 = 360
5x = 225
x = 45
Now that we have found the value of x, we can substitute it back into the angle B:
B = x
B = 45
Therefore, the measurement of the smallest angle in the trapezoid is angle B, which is 45 degrees.
Solve for the measurement of the smallest angle in the trapezoid shown. (1 point)
D 2x
C 135
B x
A 2x
1 answer