Angles,Lines and Triangles

The sum of two angles of a triangle is 116 degree and their differences is 24 degree.Find the measure of each angle of the triangle.

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asked by Harsh
  1. let the angles be x and y

    x+y = 116
    x-y = 24
    add them
    2x = 140
    x = 70
    then y = 46

    one angle is 70°, the other is 46° leaving 64° for the third angle

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    posted by Reiny
  2. Let the angle ne x and y .
    If we take x+y=116°....(1)
    x-y=24°.....(2)
    We know that the sum of an angle of an ∆ is 180°
    So, x+y= 116°
    x=(180-116)°
    X=64°
    Now , on adding (1)..(2)
    We get, 2x=140
    =>140/2
    =>70°
    Simply sum of am angle of an ∆ is 180°. So, another angle is 46°.

    One angle is 70 , another is 46°, and third angle is 65°

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    posted by Anss

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