Question

One of the exterior angles of a triangle is120degrees and interior opposite angles are in the ratio 2:3. Find the angles of a triangle

Answer 1

Answer:

exterior angle =120°

ratio of interior opposite angles =2:3

exterior angle = interior opposite angles

let angles be,

2x and 3x

2x +3x = 120°

5x = 120°

x = 120°÷5

= 24°

angles = 2x = 2×24 = 48°

= 3x = 3×24 = 72°

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