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TS is an angle bisector. If m∠RTS=x+10 and m∠UTS=2x+5, find m∠RTU.

answer choices below


30°30 degrees

15°15 degrees

80°80 degrees



2 Answers

5 votes

Answer:

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Explanation:

User Belder
by
6.9k points
3 votes

Answer:

m∠RTS= 15°, m∠UTS= 15°, m∠RTU= 30°

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

TS is an angle bisector. If m∠RTS=x+10 and m∠UTS=2x+5, find m∠RTU. answer choices-example-1
User Rich Steinmetz
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