Question

transversals
what is the value of x?
hint: set them equal to each other.
(10x - 23)°
137°
options: -16, 0, 11.4, 16

Explanation:

Answer:

To find the value of \( x \), we use the hint to set the two angles equal (since lines \( a \) and \( b \) are parallel, the corresponding angles are equal):

\[
10x - 23 = 137
\]

Add 23 to both sides:

\[
10x = 137 + 23 \\
10x = 160
\]

Divide both sides by 10:

\[
x = \frac{160}{10} \\
x = 16
\]

So the value of \( x \) is \( \boldsymbol{16} \).