ANSWER:
b. 35
STEP-BY-STEP EXPLANATION:
We can determine the value of x, knowing that the sum of all the angles of the trapezoid is equal to 360°.
Also that the upper angles are equal and the lower angles are equal, therefore, we can establish the following equation:
[tex]\begin{gathered} 2\cdot\angle BAC+2\cdot\angle DCA=360 \\ \\ \text{ We replacing:} \\ \\ 2\cdot \left(3x-4\right)+2\cdot \left(2x+9\right)=360 \\ \\ 6x-8+4x+18=360 \\ \\ 10x+10=360 \\ \\ 10x=360-10 \\ \\ x=\frac{350}{10} \\ \\ x=35 \end{gathered}[/tex]
Therefore, the correct answer is b. 35
