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20 March, 21:13

In ABC the measure of angle a is 2x+3 the measure of angle b is 4x+2 and the measure of angle c is 2x-1. what are the measure of the angles?

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  1. 20 March, 21:15
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    ABC

    that means that this shape has 3 sides

    what shap has 3 sides

    a triangle

    remember thtat the 3 inside angles added together equal 180 so

    angle a=2x+3

    angle b=4x+2

    angle c=2x-1

    so therefor a+b+c=180

    so

    2x+3+4x+2+2x-1=180

    group like terms

    2x+4x+2x+3+2-1=180

    add like terms

    8x+4=180

    subtracct 4 from both sides

    8x=176

    divide both sides by 8

    x=22

    subsitute

    a=2x+3

    a=2 (22) + 3

    a=44+3

    a=47

    b=4x+2

    b=4 (22) + 2

    b=88+2

    b=90

    c=2x-1

    c=2 (22) - 1

    c=44-1

    c=43

    the angles are

    a=47

    b=90

    c=43
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