Question

if one angle of a triangle is 60 degree and the other two angles are in the ratio 1:2 then find the other two angles.​

Answer 1

Answer:

Given that one of the angles of the given triangle is 60°.

Also given that the other two angles of the triangle are in the ratio 1: 2.

Let one of the other two angles be x.

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

60° + x + 2x = 180°

3x = 180° – 60°

3x = 120°

x = 120°/3

x = 40°

2x = 2 × 40°

2x = 80°

Hence, we can conclude that the required angles are 40° and 80°.

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Answer 2

Answer:

40 degree and 80 degree.

Explanation:

We have the three angles say A, B, C.

A = 60 degree

B:C = 1:2

So we can take: B = 1x , C = 2x

The sum of Three angles of a triangles is always 180 degrees.

A + B + C = 180

Therefore,

60 + 1x + 2x = 180

60 + 3x = 180

3x = 180 - 60

3x = 120

x = 120/3

x = 40

So,

B = 1x = 40 degrees

C = 2x   = 40 x 2   = 80 degrees