Question

in the adjoining figure, aob is a diameter of the circle and AC=BC then find angle CAB

Answer 1

Hey there,

NOTE:-I will use D in place of B.

Angle subtended by a chord at the centre is double that of the angle subtended by chord on circumference.
Since diameter subtend 180° at centre therefore it subtend 90° at the circumference.

We can say that ∠ACD=90°

Since it given that AC=DC so the base angles are equal.
⇒∠CAD=∠CDA

In triangle ACD-
∠CAD+∠CDA+∠ACD=180°
Let ∠CAD=∠CDA=∅
therefore 2∅=90°

From this, we can conclude that-

∠CDA=∠CAD=45°

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Ace

Answer 2

Answer:

CYCLIC QUADRILATREL IS 90

Step-by-step explanation:

CA + BA = 90

THEREFORE CAB = 90

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