The exterior angle of triangle is 150°,and the interior opposite angles are in the ratio of 2:3 then find the interior angles
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46°, 69°, 75°
Step-by-step explanation:
interior opposite angles in ratio = 2 : 3
exterior angle = 115°
let the interior opposite angles = 2x and 3x
According to quest -->
•°• 2x + 3x = 115° (exterior angle)
=> 5x = 115°
=> x = 115°/5
=> x = 23°
•°• First angle = 2x
= 2 × 23°
= 46°
•°• Second angle = 3x
= 3 × 23°
= 69°
•°• Third angle = 180° - (69° + 46°)
= 180° - 115°
= 75°
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