# In the given figure AOB is the diameter of the circle and AC=BC. Find angle CAB?

Answers: 2

In the given figure AOB is the diameter of the circle and AC=BC. Find angle CAB?...

Answers: 2

In the given figure AOB is the diameter of the circle and AC=BC. Find angle CAB?...

answer:

answer is 90Step-by-step explanation:

because when diameter form angle on any point of circle then it form 90Given: AOB is the diameter of the circle

∠ACB = 90°

AC = BC

Now, according to the property, we know that angles opposite to equal sides are equal

Therefore, ∠CAB = ∠CBA

We have to find ∠CAB

We also know that, sum of angles of a triangle is 180°

So, ∠ACB + ∠CAB + ∠CBA = 180°

90 + 2∠CAB = 180

2∠CAB = 90

∠CAB= 45°

Hence, measure of ∠CAB is 45°

answer: will you please send with the image its confusing

Step-by-step explanation:

CYCLIC QUADRILATREL IS 90

Step-by-step explanation:

CA + BA = 90

THEREFORE CAB = 90

IF THER IS ANY CORRECTION PLS TELLNOTE:-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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