ز
7. If we draw a line segment by
centre of a circle and
The point of contact
tangept the to the circk, then
find the angle between the
and line Segment
Answers
Answered by
0
Step-by-step explanation:
Draw a circle with center O and take a external point P. PA and PB are the tangents.
As radius of the circle is perpendicular to the tangent.
OA⊥PA
Similarly OB⊥PB
∠OBP=90
o
∠OAP=90
o
In Quadrilateral OAPB, sum of all interior angles =360
o
⇒∠OAP+∠OBP+∠BOA+∠APB=360
o
⇒90
o
+90
o
+∠BOA+∠APB=360
o
∠BOA+∠APB=180
o
It proves the angle between the two tangents drawn from an external point to a circle supplementary to the angle subtented by the line segment
solution
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