Question

two parallel lines are crossed by a transversal
what is the value of a?
$a = 63$
$a = 117$
$a = 137$
$a = 43$

Explanation:

Step1: Use the property of parallel lines and transversal

When two parallel lines \(g\) and \(f\) are cut by a transversal \(h\), \(a\) and the angle of \(63^{\circ}\) are supplementary angles.
Supplementary angles satisfy the equation \(a + 63^{\circ}=180^{\circ}\)

Step2: Solve for \(a\)

Subtract \(63^{\circ}\) from both sides of the equation \(a + 63^{\circ}=180^{\circ}\)

$$
LATEXBLOCK0
$$

Answer:

\(a = 117\)