Question

The measure of angles of a triangle are x, (x-20) , (X-40) . Find the measure of each angles .​

Answer 1

Step-by-step explanation:

the sum of all angles of triangle is 180

therefore,

x+(x-20)+(x-40) = 180

x+x-20+x-40= 180

3x - 60 =180

3x = 240

x = 80

angles: 80,60,40

Answer 2

• Angles of triangle are 80°, 60° and 40° respectively.

Step-by-step explanation:

Given:-

• Measure of angles of a triangle is x , (x - 20) and (x - 40).

To find:-

• Measure of each angles.

Solution:-

We know that,

Sum of all interior angles of a triangle is 180°. This property is also known as 'Angle sum property of triangle'.

So,

➝ x + (x - 20) + (x - 40) = 180°

➝ x + x - 20 + x - 40 = 180°

➝ x + x + x - 20 - 40 = 180°

➝ 3x - 60 = 180°

➝ 3x = 180° + 60°

➝ 3x = 240°

➝ x = 240°/3

➝ x = 80°

Verification:-

➝ x + (x - 20) + (x - 40) = 180°

• Put x = 80°

➝ 80° + (80° - 20°) + (80° - 50°) = 180°

➝ 80° + 60° + 40° = 180°

➝ 180° = 180°

Hence, Verified.

x = 80°

x - 20° = 80° - 20° = 60°

x - 40° = 80° - 40° = 40°

Therefore,

Angles of triangle are 80°, 60° and 40° respectively.