Question

Ratio of a triangle is 2:6:7
What is the complement of the smallest angle of the triangle

Answer 1

Let the smallest angle be x degrees.

The sum of all angles be  2x + 6x + 7x = 180

                                              15x = 180

                                                  x = 12

The smallest angle is 2 * x = 2 * 12 = 24.

Let the complementary angle be a.

24  + a = 90

a = 66.

The complementary of the smallest angle of the triangle is 66 degrees.


Hope this helps!

Answer 2

Let the angles of the triangle be 2x, 6x, 7x
Now, 2x+6x+7x=180°
= 15x= 180°
= x = 180/15
= x = 12
Now, here the smallest angle is 2x
So, 2×12 = 24° is the smallest angle
Complement angle of 24° = (90-24)° = 66°

The answer is 66°

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