Question

The angles of a triangle are arranged in asending order of magnitude if the difference between two consecutive angle is 10° find the three angles

Answer 1

Step-by-step explanation:

this step will help you for this question

Answer 2

Given :-

• The angle of a triangle are arranged in ascending order of magnitude.

• The difference between two consecutive angle is 10°.

To find :-

• The three angles.

Solution :-

Let x , (x + 10°) and (x + 20°) be the consecutive angle differ by 10°.

We know that,

sum of all angles of triangle is 180°

According to the question,

x + (x + 10°) + (x + 20°) = 180

⤇ x + x + 10° + x + 20° = 180

⤇ 3x + 30° = 180°

⤇ 3x = 180° - 30°

⤇ 3x = 150°

⤇ x = $\rm\cancel\dfrac{150}{3}$

⤇ x = 50°

Now, we have,

• x = 50°

• x + 10 = 50 + 10 = 60°.

• x + 20 = 50 + 20 = 70°

Hence,the three angles will be 50° , 60° , 70°