Answered

What is the measure of angle ABD on trapezoid ABCD?

24

40

64

92

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

Verified Answer :

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 \(360 degrees\)

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 \(40 degrees\)

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