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

Question

asked Dec 18, 2017 141k views

2 Answers

Alexeypro · Answer 1 · 2017-12-20T11:10:09+0000

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.

Mike Chiu · Answer 2 · 2017-12-22T20:23:04+0000

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