Question

Given that AB and AC are tangents to the circle and AC = BC , then angle CAB in the given figure is equal to​

Answer 1

Answer:

60 degree

Step-by-step explanation:

It is given that two sides of the triangle are equal so angle A=angle B and angles made by tangent on the same chord are equal so I think answer is 60degree or in one word all sides of this triangle are equal

Answer 2

Answer:

The angle CAB in the given figure is 60*

Step-by-step explanation:

In the given figure we can observe that,

AB and AC are tangents to the given circle.We are required to find the angle CAB.

From properties of tangents to the circle,we have a property which states that-The tangents drawn to circle from a common point must be equal in length.

Hence using this property we can write-

$AB=AC-- > (1)$

Also given that the sides AC and BC are equal.Hence,

$AC=BC-- > (2)$

Combining equation 1 and 2,we get

$AB=AC=BC$

It implies that the ΔABC is an equilateral triangle and hence,each angle in the equilateral triangle is 60*.$= > CAB=60*$

Therefore,the angle CAB in the given figure is 60*

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