Geometry: line qs bisects angle pqr. solve for x and find the measure of angle pqr. (actual problem: ) the measure of angle pqs=2x + 1; the measure of angle rqs = 4x - 15.

x = 8

∠PQR = 34°

Step-by-step explanation:

Given: Line QS bisects ∠PQR

QS is bisector of ∠PQR

So, ∠PQS = ∠RQS

2x + 1 = 4x - 15

4x - 2x = 1 + 15

     2x = 16

      x = 8

∠PQS = 2(8) + 1

          = 16+1

         = 17°

∠RQS = 4x-15

          = 4(8)-15

          = 17°

∠PQR = ∠PQS + ∠RQS

          = 17° + 17°

          = 34°

Hence, The measure of ∠PQR is 34°

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step-by-step explanation: