Question

Pls geometry work help

Answer 1

Explanation:

Given:

<RPS = 35

<PAQ = 130

Solution:

If <PAQ = 130 then <QAR =50

because they are a linear pair that add to 180

<QAR = mQR = 50

mRS = 2(<RPS) >inscribed angle

mRS = 2(35)

mRS = 70

<PAQ = 130

<PAQ = mPQ

<PSQ = 1/2 (mPQ) >inscribed angle

<PSQ = 1/2 (130)

<PSQ = 65

<PBS = 180 - <RPQ - PSQ >triangle

<PBS = 180 - 35-65

<PBS = 80

<PBS = <QBR >vertical angles

<QBR = 80

<ABQ = 180- <QBR >linear pair

<ABQ = 180 - 80

<ABQ= 100

<AQB = 180 - <ABQ - <QAR >triangle

<AQB = 180 -100 - 50

<AQB = 30

<AQB = <AQS

<AQS =30

mRS = 70

mPS = 180-mRS 180 for semicircle

mPS = 180 - 70

mPS = 110