Math, asked by Preet618, 6 months ago

The exterior angle of triangle is 150°,and the interior opposite angles are in the ratio of 2:3 then find the interior angles

Answers

Answered by anjulisingh
7

Here is your answer

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Answered by sahuchirag263
0

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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