Question

two angles of a triangle are in the ratio 1:2 .If the sum of these angles is equal to the third angle, find the angles of the triangle .What type of triangle as acute, obtuse, right, scalene, isosceles or equilateral

Answer 1

ratio is 1:2
let the third angle be y
and two angles be 1x,2x
y=1x+2x
sum of angles in a triangle=180°
1x+2x+(1x+2x) =180°
6x = 180°
x = 30°
therefore all angles
1x=30°
2x=60°
1x+2x = 90°
therefore the triangle is right angled

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