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

Question 16 Properties of Triangle Exercise 15.2

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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.

Therefore, the second one will be 2x.

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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