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) 43 11 22 26

Explanation:

Step1: Use the property of parallelogram

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

Step2: Set up the equation

Since $\angle B = 3x-7$ and $\angle D=x + 15$, we have the equation $3x-7=x + 15$.

Step3: Solve the equation

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

Answer:

11