angles 3(14)-7 and 15y-5 are supplementary

solve for y

1 answer

To solve for y, we need to set the sum of the two angles equal to 180 degrees, since supplementary angles add up to 180 degrees.

So, we have the equation:

3(14) - 7 + 15y - 5 = 180

Simplifying the left side of the equation, we have:

42 - 7 + 15y - 5 = 180

Combine like terms:

30 + 15y = 180

Subtract 30 from both sides of the equation:

15y = 150

Divide both sides by 15 to solve for y:

y = 10

Therefore, the value of y is 10.