Question

one angle of a triangle is 61 degree and the other two angles are in the ratio 1 whole 1 by 5 is to 1 whole 1 by 3 find these angles ​

Answer 1

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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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