Question

1) In ABCD is a trapezium side BC ||side AD, side AB side DC If | A = 72°
then find the measures of I B, and I D.​

Answer 1

Answer:

answer is

Step-by-step explanation:

side BC||side AD

interior angle on the same side of the transversal are supplementary.

<A+<B=180°

72°+<B=180°<B=180°-72°

=108°

construction

draw BP||CD

so BC||ADand BP||CP

=PBCD is a parallelogram

=CD=BP

Now CD=BP and CD=AB

=BP=AD

=<BAP=<BPA=72°

=BP||CD so

=<CDP=<BPA=72°

corresponding angle are equal

<B=108°

<C=72°