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Tpy6a [65]
3 years ago
11

Hi help me please ,,

Mathematics
2 answers:
svlad2 [7]3 years ago
5 0
Decomposers is the answer
Margarita [4]3 years ago
5 0
Decomposers i believe
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Find the value of x. give reasons to justify your answer NEED HELP ASAP!!!!
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Answer:

x = 34^\circ

Step-by-step explanation:

Note that ∠TSU and ∠PSR are vertical angles. Hence:

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∠PSR is the sum of ∠PSQ and ∠QSR. Hence:

\displaystyle m\angle TSU = m\angle PSQ + m\angle QSR

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m\angle PQS +(68^\circ) = 180^\circ

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m\angle PQS = 112^\circ

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\displaystyle m\angle SPQ + m\angle PQS + m\angle PSQ = 180^\circ

Substitute in the known values:

(x) + (112^\circ) + (x) = 180^\circ

Simplify:

2x = 68^\circ

And divide. Hence:

x = 34^\circ

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