∆ABC is an isosceles ∆ inscribed in a circle with
AB = AC and BT is tangent at B and angle CBT=40°
then angle C will be:
al 40^°
b) 60°
c) 70°
d)80°
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Answer:
As tangents drawn from an external point to a circle are equal in length.
So, therefore, we get AP=AQ (tangents from A)
BP=BR (tangent from B)
CQ=CR (tangent from C)
It is given that ABC is an isosceler triangle with sides AB=AC
⇒AB−AP=AC−AP
⇒AB−AP=AC−AQ
⇒BR=CQ
⇒BR=CR
So, therefore, BR=CR that imples BC is bisected at the point of contact.
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According to question
Step-by-step explanation:
the angle C will be 60°
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