Question

If all the exterior angle of quadrilateral are in the ratio 1:2:3:4 find all the interior angles. plz answer fast

Answer 1

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⇒ Let the measure of angles be x,2x,3x and 4x.

⇒ We know that sum of measure of all four angles is 360.

∴ x+2x+3x+4x=360

⇒10x=360 ⇒ x=36

⇒ 2x=2×36 =72

⇒ 3x=3×36 =108

⇒ 4x=4×36 =144

⇒ The measures of angles of quadrilateral are 36 ,72 ,108 and 144

⇒ We can see measure of all 4 angles are different so, the given quadrilateral is trapezium.

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Answer 2

$\fbox \blue{ƛƝƧƜЄƦ}ƛƝƧƜЄƦ$

⇒ Let the measure of angles be x,2x,3x and 4x.

⇒ We know that sum of measure of all four angles is 360.

∴ x+2x+3x+4x=360

⇒10x=360 ⇒ x=36

⇒ 2x=2×36 =72

⇒ 3x=3×36 =108

⇒ 4x=4×36 =144

⇒ The measures of angles of quadrilateral are 36 ,72 ,108 and 144

⇒ We can see measure of all 4 angles are different so, the given quadrilateral is trapezium.

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