Question

What is the measure of angle ABD on trapezoid ABCD?
24
40
64
92

Answer 1

40 degrees because angle ADB is 24 degrees and forming triangle BAD, the sum of the angles should be 180. 180- (24+116) = 40 degrees.

Answer 2

Let

m∠ABD--------> x degrees

we know that

The sum os the internal angles of a trapezoid is equal to
`360 degrees`

So

`2*116+2*(24+x)=360\\ 232+48+2x=360\\ 2x=360-280\\ x=40degrees`

therefore

the answer is

The measure of the angle m∠ABD is
`40 degrees`