Question

the three angles of a triangle are in the ratio 1:2:3. if the sum of the angles or a triangle is 180 gegree the the mesure of the largest angle is

Answer 1

first angle 30°

second angle 60°

third angle 90°

Answer 2

Required Answer :-

• The measure of largest angle of triangle is 90°.

Step-by-step explanation:

To Find :-

• The measure of the largest angle of triangle

Solution:

Given,

• The three angles of a traingle are in the ratio of 1:2:3
• The sum of interior angles of traingle is 180°.

Assumption,

• The three angles of a triangle are in the ratio of 1:2:3 as (1x)°, (2x)° and (3x)°.

Therefore,

• (1x)° + (2x)° + (3x)° = 180°, So,

⟶ 1x + 2x + 3x = 180

⟶ 3x + 3x = 180

⟶ 6x = 180

⟶ x = 180/6

⟶ x = 90/3

⟶ x = 30

Now, The angles of traingle are :-

• (1x)° = (1*30)° = 30°
• (2x)° = (2*30) = 60°
• (3x)° = (3*30) = 90°

Hence, According the question,

• The largest angle of triangle

⟶ 3x > 2x > 1x

⟶ 90° > 60° > 30°

∴ The largest angle of triangle is 90°