Question

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\small \overrightarrow{QS} bisects \small \angle PQR. If \small m\angle PQS=5x-11 and \small m\angle RQS=3x+7, than what is \small m\angle PQR? \small m\angle PQR= 8x-4 degrees

Answer 1

`m\angle PQR =(8x - 4)\degree`

Explanation:

Since, QS bisects angle PQR.

Therefore,

`m\angle PQR = m\angle PQS = m\angle RQS\\</p><p>m\angle PQR =5x - 11 + 3x +7\\</p><p>m\angle PQR =5x + 3x + 7 - 11\\</p><p>\huge \red {\boxed {m\angle PQR =(8x - 4)\degree}}`