Question

measures of angles of a trianagle are In ratio 1:2:3 find the anglesl​

Answer 1

Answer:

Let the angles of triangle be x,2x and 3x.

Since, sum of all angles of triangle is 180°.

So,

x + 2x + 3x = 180°

6x = 180°

x = 180/6

x = 30°

Then, 2x = (2×30)° = 60° and 3x = (3×30)° = 90°

So, measure of all angles are 30°,60°and 90° respectively.

Answer 2

❥${\purple{\underline{\underline{\huge{\mathtt{Question:-}}}}}}$

Measures of angles of a trianagle are In ratio 1:2:3. Find the angles.

❥${\purple{\underline{\underline{\huge{\mathtt{Solution:-}}}}}}$

Consider,

• Measure of 1st angle = x
• Measure of 2nd angle = 2x
• Measure of 3rd angle = 3x

We know that the sum of three angles of a triangle is 180°.

So,

x + 2x +3x = 180

→ 6x = 180

→ x = 30

Now,

Measure of 1st angle = 30°

Measure of 2nd angle = 2×30°=60°

Measure of 3rd angle = 3×30°=90°

❥${\purple{\underline{\underline{\huge{\mathtt{Answer:-}}}}}}$

Measure of 1st angle = 30°

Measure of 2nd angle =60°

Measure of 3rd angle =90°