Question

Angle ABD =3 OF ANGLE DAB AND ANGLE BDC=96 . FIND ANGLE ABD.

YOU CAN SEE THE PIC OF THE TRIANGLE IN THE ABOVE PICTURE.​

Answer 1

Answer:

24°

Step-by-step explanation:

from the fig.,angle BDC=96° therefore angle BDA=180°-96°=84°(linear pair)

angle ABD(let be x)=3angle DAB(3x)

therefore,x+3x+84°=180°

4x+84°=180°

4x=96°

therefore,x=24°

therefore angle ABD=24°

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Answer 2

Step-by-step explanation:

BDC = 96

BDA= 84 ( LINEAR PAIR )

WE KNOW THAT THE SUM OF ANGLES OF A TRIANGLE IS 180

BDA + ABD + DAB =180

84 + 3 DAB + DAB = 180

84 + 4 DAB = 180

4DAB = 180 - 84

4DAB = 96

DAB = 96÷4

DAB = 24

ABD = 3DAB

ABD = 24× 3

ABD=72