Question

M is any point inside the triangle PM is produced to meet QR in N and prove that angle QMN greater than angle QPR a

Answer 1

In the figure , we can say that-

angleQPN + anglePQM = angleQMN, hence we can say that

i) angle QMN angle QPN , hence prooved

angleMQR

angleMRQ

angleMQR + angleMRQ

180 - (angleMQR + angleMRQ) 180 - (anglePQR + anglePRQ) Since 180 - (angleMQR + angleMRQ) = angleQMR and 180 - (anglePQR + anglePRQ) = angleQPR

ii) angleQMR angleQPR , hence prooved