please Solve :) help
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Answer:
<QSR = 70°
Step-by-step explanation:
i) Given <SRM = 60°
<SRM + <SRO = 90°
/* tangent , radius relation */
=> 60° + <SRO = 90°
=> <SRO = 90° - 60° = 30°
ii) In ∆OSR ,
OS = OR ( radii of same circle )
=> <OSR = <SRO = 30°
/* Angles opposite to equal sides are equal */
Similarly ,
iii ) Given <SQL = 50°,
<SQO = 90° - <SQL
= 90° - 50°
= 40°
iv ) In ∆OSQ,
OS = OQ
=> <OSQ = <SQO = 40°--(2)
v) <QSR = <OSR+<OSQ
= 30° + 40°
= 70°
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