Question

Points P, Q, and S are collinear.

What is m∠SQR?

Answer 1

m∠SQR = 74°

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 =
`(175)/(5)`

m = 35

Since, m∠SQR = (2m + 4)°

= (2×35) + 4

= 74°

Therefore, m∠SQR = 74° is the answer.