Question

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

Answer 1

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

4x+8=180

4x=172

x=43

3(43)+5

<PQR=134

<SQR=46

Answer 2

Answer:

$\boxed {\angle PQR = 134\textdegree}$

Step-by-step explanation:

Both angles are Supplementary (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 $\angle PQR:$

$\boxed {\angle PQR = 134\textdegree}$