The circle below has center S. Suppose that m OR = 44º. Find the following. (a) m2 QPR = (b) m2 QSR =

Question

The circle below has center S. Suppose that m OR = 44º. Find the following.
(a) m2 QPR =
(b) m2 QSR =

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Genesis 1 week 2021-10-04T06:15:43+00:00 1 Answer 0

Answers ( )

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    2021-10-04T06:17:11+00:00

    Answer:

    a) m∠QPR = 22°

    b) m∠QSR = 44°

    Step-by-step explanation:

    central angle and inscribed angle

    Given measure of arc QR = 44º

    We should know the following:

    The measure of arc equal to the central angle containing that arc

    The measure of arc equal two times the inscribed angle containing that arc

    According to the previous:

    a) ∠QPR is an inscribed angle opposite to the arc QR

    So, m arc QR = 2 m∠QPR

    ∴ ∠QPR = m arc QR/2 = 44/2 = 22°

    b) ∠QSR is the central angle opposite to the arc QR

    So, m arc QR =  m∠QSR

    ∴ m∠QSR = 44°

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45:7+7-4:2-5:5*4+35:2 =? ( )