Question

If one angle of a triangle is 60 degrees and the other two angles are in the ratio 1:2 then find the angles

Answer 1

Answer:

∠A=60⁰

∠B= 40⁰

∠C= 80⁰

Step-by-step explanation:

sum of angles of triangle = 180⁰

∠A=60⁰

∠B= x

∠C= 2x  

∠A + ∠B + ∠C = 180⁰

60⁰ + x + 2x = 180⁰

60⁰ + 3x = 180⁰

3x = 180⁰ - 60⁰

3x = 120⁰

x = 40⁰

Therefore,

∠A=60⁰

∠B= 40⁰

∠C= 80⁰

Answer 2

Answer:

1. 40°

2.80°

Step-by-step explanation:

Let the common ratio be x,

therefore,

Other two angles= x and 2x.

We know sum of angles of a triangle=180°

Therefore,

• 60°+2x+x=180°
• 60°+3x = 180°
• 3x = 180°-60°
• 3x = 120°
• x = 120°÷3
• x = 40°

Now,

1. One angle = x = 40°
2. 2nd angle = 2x = 2× 40° = 80°.

• HOPE IT MAY HELP YOU.