Question

if the angle between two radii of a circle is 110°,then what is the angle between the end points of these radii​

Answer 1

Answer:-

Given in a circle c(o,r)

OB=OR {Radii of same circle}

since, angle between two radii = 110°

therefore, angle OBA=angle OAB

{angle opposite to same two lines same in length is equal}

Now,

Angle OBA + Angle OAB + Angle AOB = 180°

=> Angle OBA + Angle OBA + 110° = 180°

{ Angle OAB= Angle OBA}

=> 2AngleOBA = 180° - 110°

=> 2Angle OBA = 70°

=> Angle OBA = 70°/2

=> Angle OBA= 35°

Therefore, Angle OAB=Angle OBA= 35°

{ Since, Angle OBA = Angle OAB}