Question

In a quadrilateral ABCD, it is being given that AB || DC.
angle A: angle D = 2:3 and angle B: angle C = 4:5.
Find the measure of each angle of quadrilateral ABCD,
(Hint : 2x + 3x = 180 and 4y + 5y = 180.)​

Answer 1

Answer:

when 3x + 2x = 180°

then x= 180° /5

x = 36

so angle A = 72

angleB= 108

and when 4y+ 5y= 180°

then y = 180° / 9 , y = 20

so angle C = 80°

angle D = 100°

Answer 2

Answer:

angle a : angle d is equal to 2:3

so 2x+3x =180

5x=180

x= 36

angle a is 2*36=72

angle d is 3*36=108

angle b:angle c = 4:5

4x+5x= 180

9x = 180 ,x = 20

angle b = 80 and angle c = 100

therefore the measure of each angle is 72,108 ,80 and 100

Step-by-step explanation:

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