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)

Explanation:

Step1: Recall parallelogram property

In a parallelogram, opposite - angles are equal. So, $\angle B=\angle D$.
$3x - 7=x + 15$

Step2: Solve the equation for $x$

Subtract $x$ from both sides:
$3x-x-7=x - x+15$
$2x-7 = 15$
Add 7 to both sides:
$2x-7 + 7=15 + 7$
$2x=22$
Divide both sides by 2:
$x = 11$

Answer:

11