Question

0. The angles of a quadrilateral are in the ratio 2:3:4:6 Find the measures of each of the four angles​

Answer 1

Answer:

I hope this ans

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Step-by-step explanation:

The angles of a quadrilateral are in the ratio 2 : 3 : 4 : 6. ... So, the angles will be 48∘,72∘,96∘,144∘. Hence, the answer is 48∘,72∘,96∘,144∘.

Answer 2

❍ Let's consider that the angles of the quadrilateral be 2x, 3x, 4x and 6x respectively.

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$\underline{\bf{\dag\;}\frak{As\;we\;know\;that:}}$

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• Sum of all angles of a quadrilateral is equal to 360°.

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Therefore,

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$:\implies\sf{2x+3x+4x+6x=360^{\circ}}\\\\\\\\:\implies\sf{15x=360^{\circ}}\\\\\\\\:\implies\sf{x=\cancel{\dfrac{360}{15}^{\circ}}}\\\\\\\\:\implies\underline{\boxed{\pink{\frak{x=24^{\circ}}}}}{\;\bigstar}$

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Hence,

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• First angle = 2x = 2(24)° = 48°
• Second angle = 3x = 3(24)° = 72°
• Third angle = 4x = 4(24)° = 96°
• Fourth angle = 6x = 6(24)° = 144°

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$\therefore\;{\underline{\sf{Hence,\;the\;angles\;are\;\frak{48^{\circ},\;72^{\circ},\;96^{\circ}}\;and\frak{\;144^{\circ}}}.}}$⠀⠀⠀