Question

7. The sum of two angles of a triangle is 116° and their difference is 240
Find the measure of each angle of the triangle.


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Answer 1

sum of two angles of a triangle is 116°

their difference is 24

let two angle be x and y

x+y=116 (1)

x-y=24 (2)

adding (1) and (2) , we get

2x =140

x=70

from (1)

x+y=116

70+y =116

y= 116-70

y=46

x=70

y=46