The three angles 5x - 4- x - 2- and 3x - 7- forms a straight angle- Find the value of x-

The correct option is C 19^∘. Straight angle = 180^∘ ⇒ (5x + 4)^∘ + (x 2)^∘ + (3x + 7)^∘ = 180^∘. ⇒ (5x +x + 3x)^∘+ (4 2 + 7)^∘ = 180^∘. ⇒ (9x + 9)^∘ = ...

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Standard VII

Mathematics

Different Types of Angles

The three ang...

Question

The three angles $(5 x + 4)^{\circ}$ , $(x - 2)^{\circ}$ and $(3 x + 7)^{\circ}$ forms a straight angle.

Find the value of $x$ .

$22^{\circ}$ .

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$21^{\circ}$ .

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$19^{\circ}$ .

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$20^{\circ}$ .

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Solution

The correct option is C
$19^{\circ}$ .

Straight angle $= 180^{\circ}$

$\Rightarrow (5 x + 4)^{\circ} + (x - 2)^{\circ} + (3 x + 7)^{\circ} = 180^{\circ}$ .

$\Rightarrow (5 x + x + 3 x)^{\circ} + (4 - 2 + 7)^{\circ} = 180^{\circ}$ .

$\Rightarrow (9 x + 9)^{\circ} = 180^{\circ}$ .

$\Rightarrow 9 (x + 1)^{\circ} = 180^{\circ}$ .

$\Rightarrow (x + 1)^{\circ} = 20^{\circ}$ .

$\Rightarrow x^{\circ} = 20^{\circ} - 1^{\circ}$ .

$\Rightarrow x^{\circ} = 19^{\circ}$ .

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The three angles (5x+4)∘, (x−2)∘ and (3x+7)∘ forms a straight angle. Find the value of x.

The correct option is C 19∘. Straight angle =180∘ ⇒(5x+4)∘+(x−2)∘+(3x+7)∘=180∘. ⇒(5x+x+3x)∘+(4−2+7)∘=180∘. ⇒(9x+9)∘=180∘. ⇒9(x+1)∘=180∘. ⇒(x+1)∘=20∘. ⇒x∘=20∘−1∘. ⇒x∘=19∘.

The three angles $(5 x + 4)^{\circ}$ , $(x - 2)^{\circ}$ and $(3 x + 7)^{\circ}$ forms a straight angle.

Find the value of $x$ .