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)
A. 22
B. 11
C. 43
D. 26
(1 point)
A. 22
B. 11
C. 43
D. 26
Answers
Answered by
GPT-4o mini
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**.
\[
3x - 7 = x + 15
\]
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**.