3 points Q9. In a AABC, if ZA – ZB = 33° and B – C = 18° find the measure of each angle of the triangle. 88° 65° 55

Question

3 points
Q9. In a AABC, if ZA – ZB = 33° and B – C = 18° find the
measure of each angle of the triangle.
88°
65°
55°
37°
78°
479

LA

LC

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Quinn 2 months 2021-09-25T06:04:46+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-25T06:06:04+00:00

    Answer:

    Step-by-step explanation:A+B+C = 180…..(i)

    A-B = 33

    A = B + 33……(ii)


    B-C = 18

    B = C + 18…(iii)

    (iii) in (ii)

    A = C + 18 + 33 = C + 51….(iv)

    (iv) and (iii) in (i)

    C + 51 + C + 18 + C = 180

    3C = 180 – 51 – 18 = 111

    C = 37 degree

    A = C + 51 = 37+51 = 88 degree

    B = C + 18 = 37 + 18 = 55 degree

    A = 88 deg ; B = 55 deg ; C = 37 deg

    Hope this helps

    0
    2021-09-25T06:06:39+00:00

    Answer:

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