Question

1. In the adjoining figure , the points M. Q. N and R are on the same Iine. Given that ZMLN 90°, LM || RP and LN |QP. find ZQPR.​

Answer 1

seg LM=~seg RP------(given)

seg LN=~segQP ------(given)

seg MN=~segQR -------(common side)

therefore angle LMN=~anglePQR ----(BY SIDE SIDE SIDE TEST means s-s-s test)

therefore angle MLN=~ angle QPR --( by corresponding angle of congruent Triangle)

therefore angle QPR=90°