Question

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

Answer 1

2x+6x+7x=180°
15x=180°
x= 12°

2*12= 24°
6*12=72°
7*12=84°

smallest angle is 24° so
complement is
90-24=66°

Answer 2

Let the angles of a ∆ are 2x, 6x, 7x

Smallest angle = 2x
Biggest angle= 7x

Sum of 3 angles of a ∆ = 180°

2x + 6x+7x= 180°

15x = 180°

x= 180/15

x= 12

Smallest angle= 2x = 2× 12= 24°

Complement of angle = 90 - 24= 66°

Hence, the complement of the smallest angle of the ∆ is = 66°

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Hope this will help you...