Question

In the diagram PQR and T are points on the circumference of a circle PTS and QRS are straight lines.PR is a diameter , QSP=28° and RPS=50° calculate

a)PRT
b)QTS
c)QTR​

Answer 1

Explanation:

a)<PTR=90°(angles in a semicircle)

<RPT=50°

<PRT + <PTR + <RPT=180°(angles in a triangle)

<PRT=180-(90+50)

<PRT=40°

b)From ∆QTS

<TQS = <RTP =50°

<QTS=180-(50+28)

<QTS=102°

c)<QTR=180-(90+50)

<QTR=40°