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Lelechka [254]
3 years ago
11

HELP WILL MARK YOU BRAINLIEST HURRY IM ON A TIME LIMIT!’

Mathematics
2 answers:
Keith_Richards [23]3 years ago
6 0

(3x+5)+(x+3)=180

4x+8=180

4x=172

x=43

3(43)+5

<PQR=134

<SQR=46

levacccp [35]3 years ago
6 0

Answer:

\boxed {\angle PQR = 134\textdegree}

Step-by-step explanation:

Both angles are <u>Supplementary</u> (Two angles that add up to 180°). So, write an expression using the following measurements of both \angle PQR and \angle RQS and 180:

\angle PQR = 3x + 5

\angle RQS = x + 3

3x + 5 + x + 3 = 180

Solve:

3x + 5 + x + 3 = 180

4x + 5 + 3 = 180

4x + 8 = 180

4x + 8 - 8 = 180 - 8

4x = 172

\frac{4x}{4} = \frac{172}{4}

x = 43

-After you have the value of x, use it to the expression of \angle {PQR} to get the actual answer of \angle PQR:

-The value of x:

x = 43

-Solve for the measurement of \angle PQR:

3x + 5

3(43) + 5

129 + 5

134

-The measurement of \angle PQR:

\boxed {\angle PQR = 134\textdegree}

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