Which is a perfect square?
1 answer:
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Answer:
Part 7) Adjacent angles
m<SUR and m<RUN
m<TUP and m<PUQ
Part 8) Vertical acute angles
m<SUR and m<PUQ
m<RUN and m<TUP
Part 9) Supplementary angles
m<SUT and m<TUQ
m<SUR and m<QUR
Part 10)
Part 11) m<RUQ is greater than m< TUR
Part 12)
Part 13)
Step-by-step explanation:
Part 7) we know that
we know that
Two angles are Adjacent when they have a common side and a common vertex
In this problem
m<SUR and m<RUN ----> are adjacent angles
because have a common side UR and a common vertex U
m<TUP and m<PUQ ----> are adjacent angles
because have a common side UP and a common vertex U
Part 8) we know that
An angle is acute when is measure is less than degrees
Vertical Angles are the pair of congruent angles opposite each other when two lines cross
In this problem
------> by vertical angles
------> by vertical angles
Part 9) we know that
Two angles are supplementary if its sum is equal to degrees
In this problem
------> by supplementary angles
------> by supplementary angles
Part 10) Find m<QUR
we know that
------> by supplementary angles
we have
substitute
Part 11) which is greater m<TUR or m< RUQ
we know that
m<TUR=m<TUS+m<SUR
substitute the values
----> see the procedure problem 10
therefore
m<RUQ is greater than m< TUR
Part 12) Find the measure angle x
------> by vertical angles
solve for x
Part 13) m<KMH
we know that
-----> by supplementary angles