Question

In a triangle, the angles are arranged in ascending order. If the difference between two consecutive angels is 10 to the power 0, find the three angles. Answer with step by step solution will be marked brainliest!

Answer 1

Answer:

Let the measure of three angles of the triangle be x degrees, (x + 10) degrees and (x + 20) degrees.

It is known that the sum of three angles of a triangle is 180 degrees.

i.e. x + (x + 10) + (x + 20) = 180

Or 3x + 30 = 180

Or 3x = 180 - 30 = 1 50

Or x = 50

Now, x + 10 = 50 + 10 = 60 and x + 20 = 50 + 20 = 70

 

Therefore, the measures of three angles of the triangle are 50 degrees, 60 degrees and 70 degree

Answer 2

Given :

In a triangle, the angles are arranged in ascending order. If the difference between two consecutive angels is 10°

To find :

find the three angles.

Solution :

let the angles be x° , (x + 10)° , (x + 20)°

⇛ x + (x + 10) + (x + 20) - 180 = 0

⇛ 3x + 30 = 180

⇛ 3x = 180 - 30

⇛ x = 150/3

⇛ x = 50

so x = 50

(x + 10)° = (50 + 10)° = 60°

(x + 20)° = (50 + 20)° = 70°

⇛so, the angles are 50° , 60° , 70°