The ray XZ is the angle bisector of ∠WXY and m∠WXY = 105°. Enter m∠WXZ. The measure of ∠WXZ is

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The ray XZ is the angle bisector of ∠WXY and m∠WXY = 105°. Enter m∠WXZ. The measure of ∠WXZ is

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    0
    2021-10-13T21:44:55+00:00

    Answer:

    52.5°

    Step-by-step explanation:

    Given : The ray XZ is the angle bisector of ∠WXY and m∠WXY = 105°.

    To Find : The measure of ∠WXZ is ?

    Solution:

    ∠WXY = 105°

    The ray XZ is the angle bisector of ∠WXY

    This means XZ divides the ∠WXY in two equal angles i.e. ∠WXZ and ∠ZXY

    So, ∠WXY = ∠WXZ + ∠ZXY

    ∠WXY = 2∠WXZ

    105 = 2 \angle WXZ

    52.5 =\angle WXZ

    Hence The measure of ∠WXZ is 52.5°

    0
    2021-10-13T21:45:00+00:00

    ∠WXZ = 52.5°

    ∠WXY = 105°

    and ∠WXY = ∠WXZ + ∠ZXY

    ∠WXZ = \frac{105}{2} = 52.5°

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