Question

In the figure below lines E and F are parallel to one another and cut by transversal G.
Whats the value of y?

Answer 1

Answer:  Choice A) 19

Explanation

The angles involving x are congruent since they are corresponding angles and because we have parallel lines.

Set those angle expressions equal to each other and solve for x.

5x+56 = 9x-28

5x-9x = -28-56

-4x = -84

x = -84/(-4)

x = 21

So,

• 5x+56 = 5*21+56 = 161
• 9x-28 = 9*21-28 = 161

Both angles involving x are 161 degrees each. This helps confirm we have the correct value for x.

Then,

y + (9x-28) = 180

y + 161 = 180

y = 180-161

y = 19

Therefore, the answer is choice A.