Question

a pair of parallel lines is cut by a transversal.
if ( mangle a = (6x - 3)^circ ) and ( mangle b = (9x - 24)^circ ), what is the value of ( x )?
1.4
7
7.8
13.8

Explanation:

Step1: Identify angle relationship

$\angle A$ and $\angle B$ are congruent (alternate exterior angles).

Step2: Set angles equal

$6x - 3 = 9x - 24$

Step3: Solve for x

$-3 + 24 = 9x - 6x$
$21 = 3x$
$x = \frac{21}{3}$

Answer:

7