Question

Solve for the measurement of the smallest angle in the trapezoid shown. (1 point)

D 2x
C 135
B x
A 2x

Answer 1

[AI-generated answer — Bot GPT 3.5]

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.