Question

rhe angel of trinangle in the ratio 2:6:7.the complement of the smallest .angle of the triangle is

Answer 1

let the measure of angles of the triangle be 2y,6y and 7y
sum of all angles of triangle is 180°
2y+6y+7y=180°
15y=180°
y=180°/15
y=12

so, measure of the angle of triangle are
2*12=24
6*12=72
7×12=84

therefore, the compliment of the smallest angle of the triangle be z
24+z=90°
z=90-24
z=66°

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