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) 22 43 26 11

Explanation:

Step1: Assume the relationship between angles

Assume that angles at \(B\) and \(D\) are equal (if it's a parallelogram, opposite angles are equal. Since no figure is given, but in common problem - setups for such algebraic angle - expressions, often they are related as equal). So we set up the equation \(3x - 7=x + 15\).

Step2: Solve the equation for \(x\)

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:

\(11\)