61.5k views
3 votes
Points P, Q, and S are collinear. What is mZPQR?

R
(x + 3)
(3x + 5)º
S
Q
P
mZPQR =

Points P, Q, and S are collinear. What is mZPQR? R (x + 3) (3x + 5)º S Q P mZPQR =-example-1
User Jlvaquero
by
5.9k points

1 Answer

4 votes

I don't know why you included a Z as there is no Z point in the image, but I'll assume it was a mistake.

Answer:

134

Step-by-step explanation:

Angles on a straight line are supplementary (add up to 180), therefore we can know that the sum of both angles are 180.

3x + 5 + x + 3 = 180

Combine like terms.

4x + 8 = 180

Subtract 8 from 180 (If you move a number onto the other side of the equal sign it becomes opposite. ex: 3 becomes -3)

4x = 172

172 divided by 4.

x = 43

Plug in x into the equations.

3(43) + 5

129 + 5

PQR = 134

User RTOSkit
by
4.7k points