Question

Three angles made up a straight line.

2x

х

3x

(a) Form an equation in x

(b) Solve the equation to find the value of x

(c) Work out the size of the largest angle​

Answer 1

$\sf{Answer}$

Step-by-step-explanation

Solution:-

Concept Required:-

The given image is formed by straight line and it forms a linear pair

What is linear pair?

Linear pair is nothing but sum of given angles must be equal to 180°

Hence the given Sum of angles should be 180°

Lets do ! One by one

1) Form an equation in x

As we know sum of angles is 180° (linear pair )

Angles are x , 2x, 3x

So, equation is

x + 2x + 3x = 180°

6x = 180°

_____________________________

2) Solve the equation and find value of x

We got equation

x + 2x + 3x = 180°

Solving equation

x + 2x + 3x = 180°

6x = 180°

x = 180°/6

x = 30°

_____________________________

3) Work out the largest size of angle

Finding angles

x = 30°

2x = 2 (30)

2x = 60°

3x = 3 (30)

3x = 90°

Required angles are :- 30° , 60° , 90°

Largest angle = 90°

_______________________________

Answer 2

Step-by-step explanation:

$\huge\sf\underline\blue{answer}$

a) form an equation in x:-

as we know that 'x,2x,3x' are in straight line.

then their sum = 180° i.e

x+2x+3x = 180°

3x+3x = 180°

6x = 180°

.: it show an equation in 'x'

b) solve the equation and find the value of x:-

as we know that 'x,2x,3x' are in straight line.

then their sum = 180° i.e

x+2x+3x = 180°

3x+3x = 180°

6x = 180°

x = $\sf\dfrac{180°}{6}$

x = 30°

.: value of x = 30°

3) find the size of the largest angle :-

as we know that 'x,2x,3x' are in straight line.

then their sum = 180° i.e

x+2x+3x = 180°

3x+3x = 180°

6x = 180°

x = $\sf\dfrac{180°}{6}$

x = 30°

.: value of x = 30°

.: 2x = 2×x = 2×(30°) = 60°

.: 3x = 3×x = 3(30°) = 90°

.: largest angle = 3x = 90°

hence ✓solved✓