Angles of a quadrilateral are $(4 x)^{o}$ , $5 (x + 2)^{o}$ , $(7 x - 20)^{o}$ and $6 (x + 3)^{o}$ , Find :

(i) the value of x.

(ii) each angle of the quadrilateral.

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Solution

Angles of quadrilateral are,

$(4 x)^{o}$ , $5 (x + 2)^{o}$ , $(7 x - 20)^{o}$ and $6 (x + 3)^{o}$

$∴ 4 x + 5 (x + 2) + (7 x - 20) + 6 (x + 3) = 360^{o} 4 x + 5 x + 10 + 7 x - 20 + 6 x + 18 = 360^{o} 22 x + 8 = 360^{o} 22 x = 360^{o} - 8^{o} 22 x = 352^{o} x = 16^{o}$ .

Hence angles are,

$(4 x)^{o} = (4 \times 16)^{o} = 64^{o} 5 (x + 2)^{o} = 5 (16 + 2)^{o} = 90^{o}, (7 x - 20)^{o} = (7 \times 16 - 20)^{o} = 92^{o} 6 (x + 3)^{o} = 6 (16 + 3) = 114^{o}$ .

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Similar questions

Angles of quadrilateral are (4x),5(x+2),(7x-20) and 6(x+3).Find

1.the value of x

2.each angle of quadrilateral

{(4 x)}^{\circ}, 5 {(x + 2)}^{\circ}, {(7 x - 20)}^{\circ}

6 {(x + 3)}^{\circ} .

(4 x)^{\circ}, 5 (x + 2)^{\circ}, (7 x - 20)^{\circ}

6 (x + 3)^{\circ}

x

The angles of a quadrilateral are (5x)^o, (3x + 10)^o, (6x – 20)^o and (x + 25)^o. Now, the measure of each angle of the quadrilateral will be

(4 x)^{\circ}, 5 (x + 2)^{\circ}, (7 x - 20)^{\circ}

6 (x + 3)^{\circ}

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