Question

use the image of the parallelogram to answer the question. the interior angle of point b measures (3x - 7) degrees and the interior angle of point d measures (x + 15) degrees. what is the value of x? (1 point) 26 43 22 11

Explanation:

Step1: Recall parallelogram property

In a parallelogram, opposite angles are equal. So, $\angle B=\angle D$.

Step2: Set up the equation

We set up the equation $3x - 7=x + 15$.

Step3: Solve for x

Subtract $x$ from both sides: $3x-x-7=x - x+ 15$, which simplifies to $2x-7 = 15$. Then add 7 to both sides: $2x-7 + 7=15 + 7$, getting $2x=22$. Divide both sides by 2: $\frac{2x}{2}=\frac{22}{2}$, so $x = 11$.

Answer:

11