Question

What is m pqr? Please helps

Answer 1

Answer:

134 degrees

Step-by-step explanation:

Line PQS is 180 degrees. That being said, the addition of <PQR and <SQR equal 180 degrees.

Now you need to set up an equation to find out what angle PQR is. Since there is an X, you need to solve for X. The equation looks like this:

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

Solve for x

$(3x+5) + (x+3) = 180\\4x+8=180\\4x=172\\x=43$

Now plug in 43 where you see x. For this question, you only need to focus on (3x+5)

3(43) + 5 = 134

m<PQR = 134°

Do this every, single, time when you see these questions. Remember that line PQS is 180 degrees, and both of those angles are equal to 180 degrees.

If you want to check if this is true, plug in 43 into our equation we made to see if it equals 180 degrees. If it doesn't equal 180, your equation is incorrect.

3(43)+5+43+3 = 180

134 + 46 = 180

180 = 180 ✅