Question

AP and BP are the bisectors of angle A and angle B of quadrilateral ABCD. if angle D=60° and angle C = 30° , find the measure of APB.

Answer 1

angle DAB=180-30=》150°

ANGLE CAB =180-60=》120°

OPP ANGLES ARE SUPPLEMENTARY IN A QUAD

ANGLE PAB =HALF OF 150 °THAT IS 75°,SIMILARLY ANGLE PBA IS 60°

IN TRIANGLE PAB ANGLE APB =180°-75°-60°=》45 °[ANGLE SUM PROPERTY OF TRIANGLE]