5. In a AABC, angle A – angleB = 33° and angleB – angleC = 18°, then the measure of angleB is:​

Question

5. In a AABC, angle A – angleB = 33° and angleB – angleC = 18°, then the measure of angleB is:​

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Alice 1 month 2021-08-18T11:07:07+00:00 1 Answer 0 views 0

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    2021-08-18T11:08:36+00:00

    Answer:

    55°

    Step-by-step explanation:

    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

    If you like the answer please make me brainliest.

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