Question

trap is a trapezoid, find the value of x
trapezoid diagram with angles at a: 6x°, at p: (2x + 4)°
options: x=190, x=10.5, x=22, x=1

Explanation:

Step1: Recall trapezoid property

In a trapezoid, consecutive angles between the bases are supplementary (sum to \(180^\circ\)). So, \(\angle A + \angle P = 180^\circ\), which means \(6x + (2x + 4) = 180\).

Step2: Solve the equation

Combine like terms: \(6x + 2x + 4 = 180\) → \(8x + 4 = 180\).
Subtract 4: \(8x = 180 - 4 = 176\).
Divide by 8: \(x = \frac{176}{8} = 22\).

Answer:

\(x = 22\) (corresponding to the option "x=22")