fi8cjtvmp7 fi8cjtvmp7
  • 22-09-2020
  • Mathematics
contestada

Points P, Q, and S are collinear.

What is m∠SQR?

Points P Q and S are collinear What is mSQR class=

Respuesta :

eudora eudora
  • 27-09-2020

Answer:

m∠SQR = 74°

Step-by-step explanation:

Points P, Q and R are collinear.

Therefore, angles PQR and angle RQS are the linear pair of angles.

Since linear pair of angles are supplementary angles.

m∠PQR + m∠RQS = 180°

By substituting the measures of the given angles,

(3m + 1) + (2m + 4) = 180

5m + 5 = 180

5m = 180 - 5

5m = 175

m = [tex]\frac{175}{5}[/tex]

m = 35

Since, m∠SQR = (2m + 4)°

                        = (2×35) + 4

                        = 74°

Therefore, m∠SQR = 74° is the answer.

Answer Link

Otras preguntas

why does albert einstien move to america
Who met with President Brezhnev of the Soviet Union in 1972?
Seven of the 10 children at art camp make an average of 8 paintings. The remaining children make an average of 12 paintings. What is the average number of pain
Please help asap!! (:
which statements best summarize current challenges facing countries in the tropical north of South America
We were from asia. we were nomadic horseman who eventually settled in hungary.
A 40 kg skier starts at the top of a 12 meter high slope. At the bottom, she is traveling 10 miles. How much energy does she lose to friction?
When are muscles injuries most likely to occur?
3x+4[2x-3(x+1)-20x]=25x+100
Students are painting a mural. So far the mural is painted 1/4 blue 2/8 red and 3/12 green. Use fraction strips to determine how much of the mural has been pain