Question

The angles of a triangle are in ratio 2:6:7. The complement of the smallest angle is

Answer 1

According to the question the angles of the triangle are in ratio 2:6:7.
let the angles be 2 x, 6 x and 7 x.
Then,
2x+6x+7x = 180°
15x = 180°
x = 12°

So, the smallest angle is 2x = 2 × 12° = 24°

Let the complementary angle of 24° be y.
Then,
24°+y = 90°
y = 66°


Therefore, the complementary angle of the smallest angle is 66°.

Answer 2

Answer:

According to the question the angles of the triangle are in ratio 2:6:7. let the angles be 2 x, 6 x and 7 x. Let the complementary angle of 24° be y. Therefore, the complementary angle of the smallest angle is 66°.

Step-by-step explanation:

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