Question

In a triangle, the measures of the angles
are xº, (x + 20)° and (2x)". Find the angles.​

Answer 1

Answer:

40° , 60°and 80°

Step-by-step explanation:

sum of angle of triangle = 180°

now, x+(x+20)+2x = 180

= 4x + 20= 180

= 4x= 180-20

= x= 160/4 =40

=angle=40 ,60,80

Answer 2

Step-by-step explanation:

Given:-

In a triangle, the measures of the angles

are xº, (x + 20)° and (2x)°

To find:-

Find all angles ?

Solution:-

The angles in a triangle are x° , (x+20)° and (2x)°

We know that

"The sum of all angles in a triangle is 180°"

x° + x°+20° + 2x° = 180°

=>4x° + 20° = 180°

=>4x° = 180° -20°

=>4x° = 160°

=>x° = 160°/4

=>x° = 40°

x+20° = 40°+20° = 60°

2x° = 2(40°) = 80°

Answer:-

The angles in the given triangle are 40° ,60° and 80°

Check:-

The sum of all angles = 40°+60°+80°=180°

Used formula:-

Angle Sum Property:-

The sum of all angles in a triangle = 180°