Tell whether the angles are adjacent or vertical. Then find the value of x. The angles are angles The value of x is

Question

Tell whether the angles are adjacent or vertical. Then find the value of x.

The angles are angles

The value of x is

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Lệ Thu 4 years 2021-07-27T14:35:39+00:00 1 Answers 303 views 0

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    2021-07-27T14:37:17+00:00

    Answer:

    If two angles have common side and they shares common vertex, they are called adjacent angles.

    When two lines crosses each other, the opposite angles are called vertical angles as they share same vertex.

    Two angles shown in diagram are adjacent as they are on common side.

    Both the angles are on a straight line, hence

    Subtracting 109 from both sides

    Both angles shown in diagram are opposite to each other, hence vertical angles.

    As they are opposite to each other, they both are equal.

    Subtracting x from both sides

    Subtracting 1 from both sides

    Both angles are having a common side means they are adjacent angles.

    As they are on straight line, both angles will add up to 180 °.

    Subtracting 96 from both sides

    Dividing from 6 in both sides

    Hope it will help 🙂

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