Question

one of the exterior angles of a triangle is 125⁰ and the interior opposite angles are in the ratio 2:3. find the angles of the triangle​

Answer 1

The sum of the interior opposite angles is equal to the sum of exterior angle.

2x + 3x = 125⁰

5x = 125⁰

x = 125⁰/5

x = 25⁰

2x = 2×25⁰ = 50⁰

3x = 3×25⁰ = 75⁰

Third angle = c

50⁰+ 75⁰+ c = 180⁰

125⁰+ c = 180⁰

c = 180⁰–125⁰ = 55⁰

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