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lyudmila [28]
3 years ago
15

If m PQS=16, M SQR=(9x+17),and m PQR=(12x-6) find m PQR Please answer with work

Mathematics
1 answer:
docker41 [41]3 years ago
4 0

Answer:

\angle PQR=30^{\circ}

Step-by-step explanation:

It is given that,

\angle PQS=16^{\circ}\\\\\angle SQR=(9x+17)^{\circ}\\\\\angle PQR=(12x-6)^{\circ}

We need to find the measure of \angle PQR.

From the given figure, \angle PQR=\angle  PQS+\angle SQR

Putting all the values, we get :

12x-6=16+9x+17\\\\12x-9x=16+17+6\\\\3x=39\\\\x=13

\angle PQR=12x-6\\\\=12(3)-6\\\\=30^{\circ}

So, the measure of \angle PQR is 30 degrees.

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