Given that \(\angle A \cong \angle B\), it means that the measures of angle A and angle B are equal.
We are given:
\[
m\angle A = 4x - 12
\]
\[
m\angle B = 24
\]
Since the angles are congruent:
\[
4x - 12 = 24
\]
To solve for \(x\), we need to isolate \(x\) on one side of the equation. Let's solve it step-by-step:
1. Add 12 to both sides of the equation:
\[
4x - 12 + 12 = 24 + 12
\]
\[
4x = 36
\]
2. Divide both sides by 4:
\[
\frac{4x}{4} = \frac{36}{4}
\]
\[
x = 9
\]
So, the solution is:
\[
x = 9
\]
Therefore, the correct answer is:
D. 9
∠A≅∠Bangle eh is congruent to angle b. If m∠A=4x−12m angle eh equals 4 x minus 12 and m∠B=24m angle b equals 24, solve for x.
A.
12
B.
24
C.
3
D.
9
1 answer
1 answer