Answer:
The correct answer is first option
x = 12, y = 10
Step-by-step explanation:
From the figure we can see that a triangle ADC, and EB is parallel to side DC.
To find the value pf x
From the given figure we get,
<ABC = <BCD [ corresponding angles are equal]
3x + 9 = 4x - 3
4x - 3x = 9 + 3
x = 12
To find the value of y
<ABE and <EBC are linear pairs.
Therefore, <ABE + <EBC = 180
(3x + 9) + (14y - 5) = 180
(3 * 12 + 9) + 14y - 5 = 180
45 + 14y - 5 = 180
14y = 180 -40
14y = 140
y = 140/14 = 10
y = 10
Therefore x = 12 and y = 10
The correct answer is first option
