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18 January, 04:49

In triangle RST angle S is 3 times greater than angle R. angle T is 12 degrees greater than Rwhat is the measure of each angle in the triangle?

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  1. 18 January, 07:05
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    Sum of all angles of triangle = 180 degrees

    S is 3 times greater than angle R.

    S = 3R

    T is 12 degrees greater than R.

    T = R+12

    Now to find the measure of each angle,

    Equation is:

    3R+R+12+r=180°

    5R+12=180°

    5R=168°

    R=33.6°

    So, Angle R = 33.6°

    Angle S = 3 x 33.6 = 100.8°

    Angle T = 33.6+12=45.6°

    Answer: Angle S=100.8°, Angle T=45.6° and Angle R=33.6°
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