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2 years ago

Points P, Q, and S are collinear. What is m∠SQR?

Mathematics

1 answer:

RideAnS [48]2 years ago

8 0

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 = $\frac{175}{5}$

m = 35

Since, m∠SQR = (2m + 4)°

= (2×35) + 4

= 74°

Therefore, m∠SQR = 74° is the answer.

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