Question

If one angle of a triangle is 72degree and the other two angles are in the ratio 2:3,find these angles

Answer 1

Answer:

Step-by-step explanation:

Measure of one of the angle of a triangle = 72degree

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+72degree = 180 degree

5x+72degree = 180 degree

5x = 180degree -72degree

5x = 108degree

x = 108/5

x = 21.6 degree

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

2x =2*21.6 = 43.2degree

3x = 3*21.6 = 64.8degree

Hope it helps .... regrads

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