Question

In a quadrilateral ABCD, angle A = 63°, angle B = 54°, angle C = 126° and angle D = 117° Are these the measures of a trapezium​

Answer 1

Answer:

YES,these are the measures of trapezium because

A+D=180°

B+C=180°

by which AB||CD

Answer 2

step by step

step by step in trapezium ABCD

step by step in trapezium ABCD angle A + angle D = 180° {interior Angle on the same side of transversal are supplementary }

step by step in trapezium ABCD angle A + angle D = 180° {interior Angle on the same side of transversal are supplementary } hence

step by step in trapezium ABCD angle A + angle D = 180° {interior Angle on the same side of transversal are supplementary } hence angle A + angle D= 180°

step by step in trapezium ABCD angle A + angle D = 180° {interior Angle on the same side of transversal are supplementary } hence angle A + angle D= 180° L.H.S.

step by step in trapezium ABCD angle A + angle D = 180° {interior Angle on the same side of transversal are supplementary } hence angle A + angle D= 180° L.H.S. 63° +117°=180°

step by step in trapezium ABCD angle A + angle D = 180° {interior Angle on the same side of transversal are supplementary } hence angle A + angle D= 180° L.H.S. 63° +117°=180° Rhs=180

step by step in trapezium ABCD angle A + angle D = 180° {interior Angle on the same side of transversal are supplementary } hence angle A + angle D= 180° L.H.S. 63° +117°=180° Rhs=180 hence LHS=RHS

step by step in trapezium ABCD angle A + angle D = 180° {interior Angle on the same side of transversal are supplementary } hence angle A + angle D= 180° L.H.S. 63° +117°=180° Rhs=180 hence LHS=RHS so it is a trapezium