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20 July, 07:44

One angle of a triangle measures 76" more than the smallest, while a third angle is twice the smallest. Find the

measure of each angle

The triangle has angles of

degrees

+4
Answers (1)
  1. 20 July, 07:58
    0
    26,102,52

    Step-by-step explanation:

    Let x be the smallest angle

    x+76 is the second angle

    2x is the third angle

    The sum of all three angles is 180 degrees

    x + (x+76) + 2x = 180

    Combine like terms

    4x+76 = 180

    Subtract 76 from each side

    4x+76-76 = 180-76

    4x = 104

    Divide by 4

    4x/4 = 104/4

    x = 26

    x+76 = 26+76 = 102

    2x = 2*26 = 52
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