Question

question
given ( l parallel m parallel n ), find the value of ( x ).
(there is a diagram with three parallel lines ( l ), ( m ), ( n ) and a transversal creating angles ( (6x - 2)^circ ) between ( l ) and ( m ), and ( 52^circ ) between ( n ) and the transversal)
answer
attempt 2 out of 2
( x = ) input box submit answer

Explanation:

Step1: Identify supplementary angle

The angle supplementary to $52^\circ$ is $180^\circ - 52^\circ = 128^\circ$.

Step2: Set equal to given angle

Since $l \parallel m \parallel n$, $(6x-2)^\circ$ equals $128^\circ$:
$6x - 2 = 128$

Step3: Solve for x

Add 2 to both sides:
$6x = 128 + 2 = 130$
Divide by 6:
$x = \frac{130}{6} = \frac{65}{3} \approx 21.67$

Answer:

$x = \frac{65}{3}$ or $x \approx 21.67$