Question

If one angle of a triangle is 60 degree and the other two angles are in the ration 2:3, the value of the angles are


62 degree and 58 degree

48 degree and 72 degree

38 degree and 82degree

52 degree and 68 degree

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Answer 1

step by step explanation

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here is ur answer :--

Measure of one of the angle of a triangle = 60degree

Other two angles are in the ratio 2:3

Let the other two angles be 2x and 3x

So, we know the sum of the angles of a triangle is 180 degree

then, 2x+3x+60degree = 180 degree

5x+60degree = 180 degree

5x = 180degree - 60degree

5x = 120degree

x = 120/5

x = 24 degree

so, the measure of other two angles will be :-

2x =2*24 = 48degree

3x = 3*24 = 72degree

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Answer 2

Answer:

Let , the given ratio angles be x .

i.e., 2x + 3x

one of the angle 's measure = 60°

sum of all angles of triangle = 180°

thus , 2x + 3x + 60° = 180°

5x = 180° - 60°

x = 120°/5

x = 24°

so, 2x = 2*24° = 48°

3x = 3*24° = 72°

____2nd one is correct , 48 degree and 72 degree .