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Byju's Answer

Standard VIII

Mathematics

ASA Postulate

AB and DC are...

Question

AB and DC are parallel to each other
A and D is the ratio of 4:5
B=(3x-15) degree and C=(4x+20)
find each angle of ABCD

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Solution

given
A and D is the ratio of 4:5
B=(3x-15) degree and C=(4x+20)
and AB and DC are parallel to each other
let A= 4y and D = 5y

A + D = 180 (linear pair of angle because AB and DC are parallel to each other )

4y + 5y = 180
9y = 180
y = 180/ 9 = 20
y = 20
so, A = 4y= 4 x 20= 80
D= 5y = 5 x 20 =100
also
B +C = 180 (linear pair of angle because AB and DC are parallel to each other )
(3x-15) + (4x+20) =180
7x + 5 =180
7x = 180-5 = 175
x = 175/7 =25
B = (3x-15) =(3 x 25) -15 = 75 -15= 60
C = (4x+20) = 4 x 25 +20 =100 + 20= 120

Angle A = 80, B= 100, C = 60, D= 120

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Similar questions

Q. The following figure shown a trapezium in which sides AB and DC are parallel. If

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AB and DC are parallel to each other A and D is the ratio of 4:5 B=(3x-15) degree and C=(4x+20) find each angle of ABCD

AB and DC are parallel to each other
A and D is the ratio of 4:5
B=(3x-15) degree and C=(4x+20)
find each angle of ABCD