Question

The angle of quadrikateral are in the ratio 2:3:5:8. Find all the angle of the quadrilateral. ​

Answer 1

Answer:

2x+3x+5x+8x=360

18x=360

x=20

angles are

2×20=20

3×20=60

5×20=100

8×20=160

Answer 2

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The angle of quadrilateral are in the ratio 2:3:5:8. Find all the angle of the quadrilateral.

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$\implies$ Let the measure of the angle = $x$

$\therefore$

Measure of the 1st angle $\rightarrow$ 2x

Measure of the 2nd angle $\rightarrow$ 3x

Measure of the 3rd angle $\rightarrow$ 5x

Measure of the 4th angle $\rightarrow$ 8x

$\therefore$ A/Q

$\implies 2x + 3x + 5x + 8x = 360⁰$ $( angle\:sum\:property\:of\:quadrilateral )$

$\implies$ 5x + 5x + 8x = 360⁰

$\implies$ 18x = 360⁰

$\implies x\:=\: \frac{360}{18}$

$\implies$ x = $20⁰$

$\therefore$

$1st\:angle\:=\:2\:×\:20 \\ =\:40⁰$

$2nd\:angle\:=\:3\:×\:20 \\ =\:60⁰$

$3rd\:angle\:=\:5\:×\:20 \\ =\:100⁰$

$4th\:angle\:=\:8\:×\:20 \\ =\:160⁰$

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