Question

ABCD is a trapezium such that AB||CD, angle A: angle D
= 2:1, angle B: angle C = 7:5. Find the angle B​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

2:1 is ratio of angle A and angle B

therefore,

let angle A be 2xand angle D be 1x

angle B and C are in the ratio of 7:5

therefore,

let angle B be 7x and angle C be 5x

In quadrilateral ABCD

A+B+C+D= 360 °(angle sum property of a quadrilateral)

therefore,

2x+7x+5x+1x =360°

15x = 360°

x = 360°/15

x = 72°

<B = 7x = 7× 72°

<B = 504°

same way we can find <A,<C and <D