Question

If TRAP is an isosceles trapezoid, what is the value of x?A. 1B. 22C. 12D. 23E. 11F. Cannot be determined

Answer 1

Answer:B

Step-by-step explanation:just took the test

Answer 2

In an Isosceles trapezoid, it is known that the base angles have equal measures, and non-congruent angles are supplementary.

The non-congruent angles ∠RAP and ∠APTfrom the figure have measures 6x° and (2x+4)°, respectively.

Since they must be supplementary, it follows that their sum is 180°:

`\begin{gathered} 6x+2x+4=180 \\ \Rightarrow8x+4=180\Rightarrow8x=180-4 \\ \Rightarrow8x=176\Rightarrow(8x)/(8)=(176)/(8) \\ \Rightarrow x=22 \end{gathered}`

Hence, the value of x is 22. The correct option is B.