Question

The four angles of a quadrilateral are in the ratio 5 : 2 : 3 : 8. Find the angles.

Answer 1

Step-by-step explanation:

let angles =5x,2x,3x,8x

so ATQ,

5x+2x+3x+8x=360 (A.S.P of a QUAD.)

18x=360

x=360/18

x=20

• so angles are
• 5×20=100
• 2×20=40
• 3×20=60
• 8×20=160

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Answer 2

step by step explanation:

let, 5:2:3:8 be 5x, 2x, 3x and 8x.

we know that sum of all angles of a quadrilateral is 360°.

Therefore, 5x + 2x + 3x + 8x = 360°

which is ,. 18x = 360°

x = 360\18

x = 20°

therefore 5x = 5×20

= 100

2x = 2×20

= 40

3x = 3×20

=60

4x = 4×20

= 80