Find the value of x in the given triangle.

20^{\circ}

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30^{\circ}

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25^{\circ}

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35^{\circ}

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Solution

The correct option is A $20^{\circ}$
In any triangle, we know that the sum of all the angles of a triangle is equal to $180^{\circ}$ . (Angle Sum Property)
$\Rightarrow 4 x + 2 x + 3 x = 180^{\circ}$

$\Rightarrow 9 x = 180^{\circ}$

$\Rightarrow x = 20^{\circ}$
$∴$ the value of x in the given triangle is $20^{\circ} .$

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Similar questions

A B ∥ C D

x

{(2 x + 5)}^{\circ}, {(3 x - 5)}^{\circ}, {(x + 35)}^{\circ}, {(2 x + 20)}^{\circ}, {(2 x + 25)}^{\circ}

{(2 x + 30)}^{\circ}

x

R s

30

20 - 25

25 - 30

Age group(years)	$20 - 25$	$25 - 30$	$30 - 35$	$35 - 40$
No. of persons	$60$	$80$	$35$	$25$

Size (in cms):	10-15	15-20	20-25	25-30	30-35	35-40
No. of items:	2	8	20	35	20	15

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