Question

7. In a quadrilateral ABCD if angleA+ angle B = 210° and angleC: angleD = 2:3, find angleC and
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Answer 1

Answer:

let, x be the ratios. I.e. 2x and 3x

in quadrilateral ABCD

angle A + angle B + angle C + angle D = 360°

( angle sum property of a quadrilateral)

210° + 2x + 3x = 360°

3x + 2x = 360°- 210 °

5x = 150°

x. = 30°

angle C = 2x = 2*30°= 60°

angle D = 3x = 3*30 ° = 90°

I hope it has helped you