Find the measurement of angle rsp if rst=5\2y and pst =(y+5)

Are the two angles complementary or supplementary (add up to 90 or 180, a straight line)? If they are complementary, 5/2y+y+5=90...if they are supplementary same thing but =180 instead of 90. Post your answer if you want it checked.

To find the measurement of angle rsp, we need to use the information given about the angles rst and pst. Let's examine the given angle measurements rst = 5/2y and pst = y + 5.

To find angle rsp, we can use the fact that the sum of the interior angles of a triangle is always 180 degrees. In triangle rst, the sum of the three angles rst, rsp, and str is equal to 180 degrees.

Given: rst = 5/2y
We can substitute this value into the equation for the sum of interior angles:
(5/2y) + rsp + str = 180

Similarly, in triangle pst, the sum of the three angles pst, rsp, and pst is equal to 180 degrees.

Given: pst = y + 5
We can substitute this value into the equation for the sum of interior angles:
(y + 5) + rsp + pst = 180

We need to solve these two equations simultaneously to find the value of rsp.

By combining the two equations, we have:
(5/2y) + rsp + str = (y + 5) + rsp + pst

Since we know rst and pst in terms of y, we can substitute their values into the equation:
(5/2y) + rsp + str = (y + 5) + rsp + (y + 5)

Next, we can simplify the equation by combining like terms:
(5/2y) + rsp + str = 2y + 10 + rsp

By canceling out the rsp term on both sides of the equation, we get:
(5/2y) + str = 2y + 10

To solve for rsp, we need another equation that has rsp and str terms. Unfortunately, we don't have any additional information about angle str.

Without further information or constraints, it is not possible to determine the exact measurement of angle rsp.