Respuesta :

Peytiii2829
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.
calculista

Let

m∠ABD--------> x degrees

we know that

The sum os the internal angles of a trapezoid is equal to [tex] 360 degrees [/tex]

So

[tex] 2*116+2*(24+x)=360\\ 232+48+2x=360\\ 2x=360-280\\ x=40degrees [/tex]

therefore

the answer is

The measure of the angle m∠ABD is [tex] 40 degrees [/tex]