The following figure shows a quadrilateral in which sides AB and DC are parallel.
If angle A : angle D =4:5, angle B=(3x-15)° and angle C =(4x+20)°, find each angle of the quadrilateral ABCD
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Step-by-step explanation:
Let angle A be 4x
angle D be. 5x
4x+3x-15+4x+20+5x=360
16x+5=360
16x=360-5
x=355/16
x=22.2(approx.)
Hence a=4*22.2
=88.8degree
b=3*22.2-15
=.51.6degree
c=4*22.2+20
=108.8degree
d=5*22.2
=111degree
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