Question

Find the value of x and y.

A) x=12, y=10
B) x=14, y=11
C) x=14, y=10
D) x=12, y=11

This is for Geometry.

Answer 1

The correct answer is first option

x = 12, y = 10

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