If a angle on the circumference of a circle is subtended by a diameter of the circle what is the angle

Question

If a angle on the circumference of a circle is subtended by a diameter of the circle what is the angle

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Mộc Miên 4 years 2021-09-02T03:10:16+00:00 1 Answers 9 views 0

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  1. binhan
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    2021-09-02T03:11:52+00:00
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    Answer:

    The angle is 90 degrees

    Step-by-step explanation:

    Required

    Angle subtended by the diameter

    The theorem to solve this is:

    The angle subtended by an arc is twice the angle it subtends.

    The diameter forms 180^\circ on the circle, so we have:

    2*\theta = 180^\circ

    Where \theta is the angle subtended

    Solve for \thets\theta

    \theta = \frac{180^\circ}{2}

    \theta = 90^\circ

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