The three inside angles (a, b, c) of a right angled triangle are in the ratio 7: 18: 11. the smallest angle is 35 degrees. work out the angle a, b, c

The three inside angles (A, B, C) of a right angled triangle are which is the smallest angle, which is the right angle and which is the third angle of the triangle.

Given :

To solve this kind of problems first let x be in degree. So, angle A, angle B and angle C beecomes:

   -----  (1)

 ----- (2)

  ----- (3)

From the properties of triangle, the sum of interior angles of a triangle is .

 --- (4)

Now, put the values of in equation (4).

Now, put the value of x in equation (1), (2) and (3).

The three inside angles (A, B, C) of a right angled triangle are which is the smallest angle, which is the right angle and which is the third angle of the triangle.

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