Question

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

Answer 1

Answer:

let angle = x

ratio = 1:2

then one angle is x and other is 2x

we know

sum of the three angle = 180

x + 2x + 60 = 180

3x + 60 = 180

3x = 120

x = 40

so

x = 40

2x = 80

Answer 2

Answer:

Given :-

• One angle of a triangle is 60° and other two are in the ratio of 1:2.

To Find :-

• What are the angles.

Solution :-

Let, the other angle be x

And, the second angle be 2x

We know that,

★ Sum of three angle = 180° ★

According to the question by using the formula we get

⇒ x + 2x + 60° = 180°

⇒ 3x = 180° - 60°

⇒ 3x = 120°

⇒ x = $\dfrac{\cancel{120°}}{\cancel{3}}$

➠ x = 40°

Hence, the required angles are,

✧ Other angle = x = 40°

✧ Second angle = 2x = 2 × 40° = 80°

∴ The angles are 40° and 80°.

$\rule{300}{1.5}$

Let's Verify :-

↦ x + 2x + 60° = 180°

↦ 3x + 60° = 180°

Put x = 40° we get,

↦ 3(40°) + 60° = 180°

↦ 120° + 60° = 180°

↦ 180° = 180°

➦ LHS = RHS

Hence, Verified ✔