Q:

Transversal:Find the value of x on the attached diagram.

Accepted Solution

A:
Answer:x = 10Step-by-step explanation:We are given a diagram with lines AB and CD intersected by a line EH.Given that the lines AB and CD are parallel, we are to find the value of x.Since the lines are parallel so the angles are interior alternate angles and are equal to each other.Therefore, we can write it as:[tex] ( 3 x + 15 ) = ( 5 x - 5 ) Β [/tex][tex] 5 x - 3 x = 15 + 5 [/tex][tex] 2 x = 20 [/tex][tex] x = \frac { 20 } { 2 } [/tex]x = 10