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14 September, 09:37

In triangle abc, the size of angle b is 5 times the size of angle a and the size of angle c is 13° less than 4 times the size of angle a. find the size of the angles

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  1. 14 September, 09:40
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    Sum of angles of a triangle = 180

    a+b+c=180

    a + (5a) + (4a-13) = 180

    Simplify and solve for a:

    10a-13=180

    10a=193

    a=19.3

    b=5*19.3=96.5

    c=4*19.3-13=77.2-13=64.2

    Check: a+b+c=19.3+96.5+64.2=180 ok.
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