The three-angles-5x - 4-x - 2- and -3x - 7-forms a straight angle- Find the value of x- 22-21-19-20-

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)^∘ = ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VII

Mathematics

Complementary and Supplementary 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 $x$ .

$22^{\circ}$ .

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$21^{\circ}$ .

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$19^{\circ}$ .

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

$20^{\circ}$ .

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

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

Straight angle $= 180^{\circ}$

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

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

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

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

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

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

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

Suggest Corrections

Similar questions

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.

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

Find the value of $x$ .

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

Q. The adjacent angles on a straight line are

(5 x - 6)^{o}

and

7 (x + 6)^{o}

. Find the value of

x

Q. If

(x + 4)

and

(3 x + 2)

are complementary angles, then find the value of

x

Join BYJU'S Learning Program

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 $x$ .