Question

ABCD is a parallelogram. If m∠DAB = (5x)° and m∠DCB = (x + 52)°, what is the value of x?

Answer 1

`x=13^o`

Explanation:

Opposite angles in a parallelogram are equal.

A proof of this if you wanted it is given here.

Since `/_DAB` is opposite to `/_DCB`, this means:

`m/_DAB=m/_DCB`
`5x=x+52`
`4x=52`
`x=13^o`