if A parallel to B and angle BAE = 110° DCE = 120°, ABC =x find the value of x.​

Question

if A parallel to B and angle BAE = 110° DCE = 120°, ABC =x find the value of x.​

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Iris 2 months 2021-08-13T23:57:48+00:00 2 Answers 0 views 0

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    0
    2021-08-13T23:58:55+00:00

    AB||CD(given)

    extend BA to intersect EC at F

    Now, BF||CD

    angle AFE=angle DCF (corresponding angle)

    Now, angle BAE+ABC=180°

    110°+ABC=180°

    ABC=180°-110°=70°

    In triangle DCF, by angle sum property,

    angle DCF+ABC+BAE

    120°+ABC+110°=180°

    ABC°=230°-180°=50°

    angle ABC=BAE

    50°

    0
    2021-08-13T23:59:21+00:00

    The upper answer is right.

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