Question

2.
In a triangle, the measures of the angles are x, x + 20 and 2.x.
What is the value of x?​

Answer 1

Answer:

we know that measure of triangle is 180 degree

so,

x+x+20+2x = 180

4x= 180 - 20

4x= 160

x= 160/4

x= 40

Answer 2

Given :-

Measure of the first angle = x

Measure of the second angle = x + 20

Measure of the third angle = 2x

To Find :-

The value of x.

Analysis :-

Make an equation according to the question.

Add all the x and write the rest of the equation.

Then transpose the given number.

Divide it and get the value of x.

Solution :-

We know that,

Total degree of a triangle = 180°

Making an equation,

$\sf x+x+20+2x=180$

$\sf 4x+20=180$

By transposing 20,

$\sf 4x=180-20$

$\sf 4x=160$

Finding the value of x,

$\sf x=\dfrac{160}{4}$

$\sf x=40^{o}$

Therefore, the value of x is 40.