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?
11
22
26
43

Explanation:

Step1: Use the property of parallelogram

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

Step2: Set up the equation

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