Question

one of the exterior angles of a triangle is 130 and the interior opposite angles are in the ratio 2 :3find the angle of the triangle

Answer 1

let the comMon ratio be x
2x +3x =130
5x=130
x=26

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Answer 2

let the common multiple be x
opposite angles = 2x and 3x
sum of opposite angles = exterior angle
130 = 2x +3x
5x = 130
x= 130/5
x= 26

one angle = 2x=2(26)=52
second angle= 3x= 3(26) = 78
third angle = 180-(52+78)
= 180-130
= 50

all three angles of a triangle are 52 , 78 and 50

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