Question

A parallelogram is formed by the supports that

attach a basketball backboard and rim to the wall.

The angles change as the basketball apparatus is

taken out and put away. Find mZBCD when

m ZDAB = 320

Answer 1

`m\angle BCD = 32^(\circ)`

Explanation:

Given

`m\angle DAB = 32^(\circ)`

See attachment for basketball blackboard

Required

Find
`m\angle BCD`

In the attachment:

`m\angle BCD` and
`m\angle DAB` are opposite angles

And in a parallelogram, opposite angles have the same measure.

This implies that:

`m\angle BCD = m\angle DAB = 32^(\circ)`

So:

`m\angle BCD = 32^(\circ)`