Recall the Angle-Bisector Theorem.If a ray bisects one angle of a triangle, then it divides the opposite side into segments whose lengths are proportional to the lengths of the two sides that form the bisected angle.The following question is based on a theorem (not stated) that is the converse of the Angle-Bisector Theorem.iGiven:NP = 12, MN = 18, PQ = 8, and MQ = 12;%3D%3DmzP = 62° and mzM = 36°Find:M QNM in degreesNPHint:PQMNMQPQNPShow thatMNby finding the product of the means and the product of the extremes.MQ%3DMN · PQ%3DNP· MQ%3DThis implies that NQ bisects MNPFind the measures of the following angles in degrees.%3DNeed Help?Read It

1 MN.PQ=188= 144 NP.MQ=1212= 144 ∴ MN.PQ=NP.MQ ⇒NPMN=PQMQ proved2 This implies NQ→…

Recall the Angle-Bisector Theorem. If a ray bisects one angle of a triangle, then it divides the opposite side into segments whose lengths are proportional to the lengths of the two sides that form the bisected angle. The following question is based on a theorem (not stated) that is the converse of the Angle-Bisector Theorem. Given: NP = 12, MN = 18, PQ = 8, and MQ = 12; mzP = 62° and m.M = 36° Find: M QNM in degrees NP Hint: MN PQ MQ PO NP Show that MN by finding the product of the means and the product of the extremes. MQ %3D MN · PQ = NP · MQ = This implies that NQ bisects MNP Find the measures of the following angles in degrees. m.PNM = M.QNM = Need Help? Read It

Recall the Angle-Bisector Theorem. If a ray bisects one angle of a triangle, then it divides the opposite side into segments whose lengths are proportional to the lengths of the two sides that form the bisected angle. The following question is based on a theorem (not stated) that is the converse of the Angle-Bisector Theorem. Given: NP = 12, MN = 18, PQ = 8, and MQ = 12; mzP = 62° and m.M = 36° Find: M QNM in degrees NP Hint: MN PQ MQ PO NP Show that MN by finding the product of the means and the product of the extremes. MQ %3D MN · PQ = NP · MQ = This implies that NQ bisects MNP Find the measures of the following angles in degrees. m.PNM = M.QNM = Need Help? Read It

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter76: Drilling And Boring Compound-angular Holes

Section: Chapter Questions

Problem 10A

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