Ray SP bisects angle RST.
m<RSP if m<RST = 5/2y degrees and m<PST = (y+5)
M< = The measure of angle
To find the measure of angle RSP, we need to use the fact that Ray SP bisects angle RST. This means that RSP is half the measure of RST.
Given that the measure of angle RST is (5/2y) degrees, we can calculate the measure of angle RSP.
Step 1: Find half of the measure of angle RST.
Half of (5/2y) degrees is (1/2) * (5/2y) degrees.
Step 2: Simplify the expression.
(1/2) * (5/2y) = (5/4y) degrees.
Therefore, the measure of angle RSP is (5/4y) degrees.
To find the measure of angle <RSP, we need to use the given information.
We are told that angle RST is bisected by Ray SP. This means that Ray SP divides angle RST into two equal angles.
Let's say the measure of angle RST is represented by the variable 5/2y degrees. Since Ray SP bisects the angle, each of the two equal angles formed will have half of the measure of angle RST.
Therefore, the measure of angle RSP will be (1/2) * (5/2y) = 5/4y degrees.
Now, we are also given that the measure of angle PST is represented by (y+5) degrees.
Hence, the measure of angle RSP is 5/4y degrees.
Given: RST = 5Y/2; PST = Y+5.
RST = 2PST,
5Y/2 = 2(y+5),
Multiply both sides by 2:
5y = 4(y+5).
5y = 4y + 20,
5y - 4y = 20,
Y = 20 Deg.
y + 5 = 20 + 5 = 25 Deg = PST = RSP.
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