Question

The ratio of two angles of a triangle is 3:2.the remaining angle is the smallest which is half the largest angle of the triangle. what is the measure of smaller angle of a parallelogram if sum of both smaller angles

Answer 1

Let the largest angle =x

Using the ratio, then the smaller angle is 2/3x since the ratio is3:2

The smallest angle is 1/2x

When we sum these angles we should get 180°.

1/2x + 2/3x + x=180°

13/6x=180°
13x=1080

x=83.08°

The smaller angles :

1/2 × 83.08=41.54°

2/3 × 83.08=55.39°

The smallest angle of the parallelogram is the sum of the small angles :

41.54+55.39=96.93°