MATH SOLVE

5 months ago

Q:
# If PS || QR what is the measure of angle RSP?

Accepted Solution

A:

5y + 14 and 8y -13 we can set equal to each other because they are adjacent angles. 5y + 14 = 8y -13, we are going to subtract 5y from both sides to get 14 = 3y -13. Now add 13 to both sides and get 3y = 27. Divide by 3, y = 9.

Plug in 9 for 8y - 13 we get 8(9)-13 = 72- 13 = 59.

The inside angles of triangles must equal 180 so now we have 3x + 2x + 1 + 59 = 180. Combine like terms you get 5x + 60 = 180. Subtract 60 from both sides, you get 5x = 120. Divide by 5, x = 24. This is NOT your answer; we are not done yet!

We must plug in again for the angle represented by 2x + 1. The middle letter tells you which one to plug in for (rSp). x = 24 so 2(24) + 1. 48 + 1 = 49.

Your answer is B. 49. degrees.

Plug in 9 for 8y - 13 we get 8(9)-13 = 72- 13 = 59.

The inside angles of triangles must equal 180 so now we have 3x + 2x + 1 + 59 = 180. Combine like terms you get 5x + 60 = 180. Subtract 60 from both sides, you get 5x = 120. Divide by 5, x = 24. This is NOT your answer; we are not done yet!

We must plug in again for the angle represented by 2x + 1. The middle letter tells you which one to plug in for (rSp). x = 24 so 2(24) + 1. 48 + 1 = 49.

Your answer is B. 49. degrees.