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In a triangle ABC if angle …

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In a triangle ABC if angle A- angle B=33 and angle B- angle C= 18, then find the measure of all the angles of a triangle

    • Posted by Muskan Kumari 4 years ago

    CBSE > Class 09 > Mathematics
    • 1 answers

    Gaurav Seth 4 years ago

    In triangle ABC
    a-b=33
    a=33+b       ------------1
    b-c=18
    c=b-18           ------------2
    Now in triangle abc by angle sum property 
    a+b+c=180
    33+b+b+b-18=180       (by 1 and 2)
    15+3b=180
    3b=180-15
    3b=165
    b=165/3
    b=55
    Now put value of b in eq. 1 and 2
    a-b=33
    a-55=33
    a=33+55
    a=88
    b-c=18
    55-c=18
    c=55-18
    c=37
    Your answer is:
    a=88
    b=55
    c=37

    0Thank You

    ANSWER
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