Ray SU bisects angle RST. The measure of angle RSU=6x-3 and the measure of angle UST=5x+4. Find the measure of RSU.
7
39
41
78
2007-06-19 13:27:54 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Since the Ray SU bisects angle RST, it means it divides angle RST in two equal angles. Therefore, angle RSU and UST are equal, implying,
6x-3 = 5x+4
Rearranging the equation you get,
6x-5x = 4+3
x = 7
Angle RSU = 6 (7) - 3 = 39
2007-06-19 13:37:59 · answer #1 · answered by Mickey 1 · 1⤊ 0⤋
We are told the angle RST is bisected.
Therefore angle RSU = angle UST
Therefore: 6x - 3 = 5x + 4
Transposing like terms: 6x - 5x = 3 + 4
Solving: x = 7
Substitute:
in RSU 6 x 7 - 3 = 39
in UST 5 x 7 + 4 = 39
Proof. angle RSU is 39 degrees
2007-06-19 20:39:36 · answer #2 · answered by Robert S 7 · 0⤊ 0⤋
Since SU bisects RST, RSU=UST so
6x-3=5x+4 add 3 to each side
6x=5x+7 subtract 5x from each side
x=7
5x+4=5*7+4=39
UST=RSU=39º
RSU=39º
RST=UST+RSU=39º+9º=78º
2007-06-19 20:37:01 · answer #3 · answered by yupchagee 7 · 0⤊ 0⤋