Question

The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. Find the smallest angle.

Answer 1

Answer:

36

Step-by-step explanation:

1+2+3+4x=360

10x=360

x=360/10

x=36

Answer 2

GivEn:

• The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4.

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To find:

• Find the smallest angle.

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SoluTion:

Let's the angles of quadrilateral be 1x, 2x, 3x, 4x.

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So, As we know that,

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Sum of all angles of a quadrilateral is 360°.

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$:\implies\sf 1x + 2x + 3x + 4x = 360^\circ$

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$:\implies\sf 10x = 360^\circ$

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$:\implies\sf x = \cancel{ \dfrac{360}{10}}$

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$:\implies{\underline{\boxed{\sf{\pink{x = 36^\circ}}}}}\;\bigstar$

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Therefore, The angles of quadrilateral are,

• 1x = 1 × 36 = 36°

• 2x = 2 × 36 = 72°

• 3x = 3 × 36 = 108°

• 4x = 4 × 36 = 144°

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$\therefore$ Hence, Here 36° is the smallest angle and 144° is the largest angle.