Question
Vertical angles are shown below. Vertical angles are congruent ( = ). Find the value of x ( remember to set up an equation) ( 5x - 3 ) and 77
Answers
GPT-4o mini
To find the value of \( x \) given that the vertical angles are congruent, we can set up the equation based on the fact that the two angles are equal to each other:
\[
5x - 3 = 77
\]
Now, we will solve for \( x \).
1. First, add \( 3 \) to both sides of the equation:
\[
5x - 3 + 3 = 77 + 3
\]
\[
5x = 80
\]
2. Next, divide both sides by \( 5 \):
\[
x = \frac{80}{5}
\]
\[
x = 16
\]
Thus, the value of \( x \) is \( 16 \).
\[
5x - 3 = 77
\]
Now, we will solve for \( x \).
1. First, add \( 3 \) to both sides of the equation:
\[
5x - 3 + 3 = 77 + 3
\]
\[
5x = 80
\]
2. Next, divide both sides by \( 5 \):
\[
x = \frac{80}{5}
\]
\[
x = 16
\]
Thus, the value of \( x \) is \( 16 \).