Question

If an exterior angle of a triangle is 115 degree and interior opposite angles are in the ratio2:3,find the angles of a triangle ?

Answer 1

Answer:

Exterior angle =115

let opp. interior angles be 2x and 3x

we know,

Exterior angle=sum of opp. interior angles

therefore,

115=2x+3x

115=5x

115/5=x

23=x

so,

Ist angle=2x=2×23=46

2nd angle=3x=3×23=69

3rd+1st+2nd=180 (Angle sum property)

3rd+46+69=180

3rd+115=180

3rd=180-115

3rd angle=65

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