Answer:
X=45 , y=20
Option B is the right option.
Solution,
Shown quadrilateral is a trapezoid.
2x and the right angle are consecutive interior angles because they are on the same side of a transversal and between likes that the transversal Intersects.
Since, 2x° and the right angles are consecutive interior angles and two of the lines form these angles are parallel, then by consecutive interior angles theorem the two angles are supplementary and thus the sum of their measure is 180°
[tex]2x + 90 = 180[/tex]
Subtracting 90 on both sides:
[tex]2x + 90 - 90 = 180 - 90 \\ 2x = 90[/tex]
dividing both sides by 2
[tex] \frac{2x}{2} = \frac{90}{2} \\ x = 45[/tex]
Also,
[tex]3y + 6y = 180 \\ 9y = 180[/tex]
dividing both sides by 9
[tex] \frac{9y}{9} = \frac{180}{9} \\ y = 20[/tex]
hence, The value of X and y are 45° and 20° respectively..
Hope this helps....
Good luck on your assignment....
