TS is an angle bisector. If m∠RTS=x+10 and m∠UTS=2x+5, find m∠RTU.
2 answers:
Answer:
m∠RTS= 15°, m∠UTS= 15°, m∠RTU= 30°
Step-by-step explanation:
Since TS bisects RTS and UTS, that means the two angles are equal to each other. So let's find x first.
x+10=2x+5, subtract x to both sides
10=x+5, subtract 5 to both sides
x=5
Since RTU is basically RTS plus UTS, let's add the two angles together
x+10+2x+5, combine like terms
3x+15
Then we can plug in 5 for x
3(5)+15
15+15
=30
So, RTU is 30 degrees
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