Question

The angles of the triangle are 3x–40, x+20 and 2x–10 then the value of x is
(a) 40 (b) 35 (c) 50 (d) 45

Answer 1

Dear Student,

◆ Answer - (b)

Value of x = 35

● Explaination -

We know that sum if all angles of triangle is 180°.

(3x-40) + (x+20) + (2x-10) = 180

3x + x + 2x - 40 + 20 - 10 = 180

6x - 30 = 180

6x = 180 + 30

x = 210/6

x = 35

Therefore, value of x is 35.

Thanks dear. Hope I was useful..

Answer 2

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

FORMULA TO BE IMPLEMENTED

The sum of three angles in a triangle is 180°

GIVEN

The angles of the triangle are 3x–40, x+20 and 2x–10

TO DETERMINE

The value of x

CALCULATION

Since the sum of three angles in a triangle is 180°

$\sf{Hence \: \:( 3x - {40}^{ \circ} ) + ( x + {20}^{ \circ}\: ) + ( \:2x - {10}^{ \circ}) = \: {180}^{ \circ} \: }$

$\sf{ \implies 6x - {30}^{ \circ} = \: {180}^{ \circ} \: }$

$\sf{ \implies 6x = {30}^{ \circ} + \: {180}^{ \circ} \: }$

$\sf{ \implies 6x = {210}^{ \circ} \: \: }$

$\sf{ \implies x = {35}^{ \circ} \: \: }$

RESULT

$\boxed{ \sf{ \: \: x = {35}^{ \circ} \: \: }}$

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