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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)
A. 22
B. 11
C. 43
D. 26

1 answer

To find the value of \( x \), we need to set the two angles equal to each other, assuming they are the same angle. Thus, we can set up the equation:

\[ 3x - 7 = x + 15 \]

Next, we'll solve for \( x \).

  1. Subtract \( x \) from both sides: \[ 3x - x - 7 = 15 \]

  2. Simplify: \[ 2x - 7 = 15 \]

  3. Add 7 to both sides: \[ 2x = 22 \]

  4. Divide by 2: \[ x = 11 \]

Thus, the value of \( x \) is \( 11 \).

The answer is B. 11.