Question

the angels of a triangle are in the ratio 1:2:3.The measure of the largest angle is​

Answer 1

Answer:

90 degree (90°) is the largest angle of triangle.

Step-by-step explanation:

let the angles of triangle are x , 2x and 3x respectively.

According to the question

We know that,

Sum of angles of triangle=180°

x + 2x +3x = 180°

6x = 180°

x = 180°/6

x = 30°

2x = 2×30° = 60°

3x = 3×30° = 90°

Angles of triangle are 30° , 60° and 90°.

Largest angle of triangle is 90°.

Answer 2

Answer :-

Put x in the ratio

As we know that sum of all angles of a triangle is 180°.

According to question :-

x + 2x + 3x = 180°

→ 6x = 180°

→ x = 180°/6

→ x = 30

• x = 30°
• 2x = 2 × 30 = 60°
• 3x = 3 × 30 = 90°

Measure of the largest angle is 90°.