Find the value of x and y. Image shows a triangle with to parallels lines inside. It creates 3 angles. Angle A is equal to (2x+7). Angle B is equal to (15y-5). Angle C is equal to (3x-7). Angle A and C are equal.

Answer 1

Since angles A and C are equal, we can set up an equation:

2x + 7 = 3x - 7

To solve for x, we subtract 2x from both sides and add 7 to both sides:

7 = x - 7

Next, we add 7 to both sides:

14 = x

So, x = 14.

Now that we have the value of x, we can find the value of y by using angle B:

15y - 5 = 180 - (2x + 7)

Substituting the value of x, we have:

15y - 5 = 180 - (2(14) + 7)

15y - 5 = 180 - (28 + 7)

15y - 5 = 180 - 35

15y - 5 = 145

To isolate y, we add 5 to both sides:

15y = 150

Then, we divide both sides by 15:

y = 10

So, x = 14 and y = 10.