Geometry
posted by David .
Ray SP bisects angle RST.
m<RSP if m<RST = 5/2y degrees and m<PST = (y+5)
M< = The measure of angle

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.
.
Respond to this Question
Similar Questions

Roosevelt honors geometry
ray OC bisects <AOB, ray OD bisects <AOC, RAY OE BISECTS <AOD, RAY OF BISECTS <AOE NAD RAY OG BISECTS <FOC IF THE MEASUREOF <BOF EQUALS 120 DEGREES, THEN WHAT IS THE MEASURE OF <DOE? 
GEOMETRY
ray OC bisects <AOB, ray OD bisects <AOC, RAY OE BISECTS <AOD, RAY OF BISECTS <AOE NAD RAY OG BISECTS <FOC IF THE MEASUREOF <BOF EQUALS 120 DEGREES, THEN WHAT IS THE MEASURE OF <DOE? 
Math
Ray AF bisects angle DAB, Ray AE bisects angle DAF, and ray AD bisects angle CAF. Draw a picture that represents this situation. (I drew a picture but I still do not understand.) If the measure of angle DAB=x, find the measure of angle … 
Math
Triangle RST, RS = 30 centimeters, measure of angle T = 105, and measure of angle R = 40. Find the area of triangle RST, to the nearest square centimeter. 
geometry
how do you solve m<rst if m<rsp=(3x2) and m<pst=(9x26)? 
Geometry
Find the measurement of angle rsp if rst=5\2y and pst =(y+5) 
Geometry
Write an indirect proof that an obtuse triangle does not have a right angle. Given: Triangle RST is an obtuse triangle. Prove: Triangle RST does not have a right angle. Let angle S be an obtuse angle. Assume Triangle RST has a right … 
Geometry
SP bisects <RST. Find the m<RST if m<RSP = (3x20) and m<PST = (9x26) I did 3x20=9x26 subtracted 3x from each side, 20=6x26 now i added 26 on each side 6=6x and got x=1 I think x = 1 but now what do i do? 
Geometry
SP bisects <RST. Find the m<RST if m<RSP = (3x20) and m<PST = (9x26) I did 3x20=9x26 subtracted 3x from each side, 20=6x26 now i added 26 on each side 6=6x and got x=1 I think x = 1 but now what do i do? 
Geometry
PR=PS ray RV bisects angle PRS, ray SV BISECTS ANGLE PST prove angle V= 1/2 angle P where angle P = 4x