Question

0.9 In a quadrilateral ABCD, the angles A, B, C, and D are in the ratio 1:2:3:4, find each angle.

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Answer 1

Step-by-step explanation:

∠A:∠B:∠C:∠D=1:2:3:4

So, let ∠A=x,∠B=2x,∠C=3x,∠D=4x

Therefore, by angle sum property of quadrilateral,

x+2x+3x+4x=360

10x=360

x=36

Hence,

∠A=36 °

∠B=72 °

∠C=108 °

∠D=144 °

Answer 2

Answer:

total angle in a quadrilateral is 360

Step-by-step explanation:

1x+2x+3x+4x=360

10x=360

x=360/10

x=36

1x=1×18=36

2x=2×36=72

3x=3×36=108

4x=4×36=144

36+72+108+144=360

each angle is equal to

36,72,108,144