Question

The greatest angle of a triangle is 30° more than the least and the third angle is 15° less than the greatest. Find the angles.

pls answer fast

Answer 1

let x be the common multiple
let the smallest angle be x.
greatest angle be x+30.
Third angle be x+30-15=x+15
the sum of all angles of a triangle is 180°
$x + x + 30 + x + 15 = 180 \\ 3x + 45 = 180 \\ 3x = 180 - 45 \\ 3x = 135 \\ x = \frac{135}{3} \\ x = 45$

smallest angle= 45°
greatest angle = 75°
third angle= 60°
Hope this helps you:-))))
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