3 years ago

What is the measure of angle BAC?

Mathematics

2 answers:

ehidna [41]3 years ago

8 0

Answer:

3rd Option is correct.

Step-by-step explanation:

Given a circle with center O.

∠AOB = 67°

In Δ AOB

AO = BO (radius of same circle)

⇒ ∠OAB = ∠OBA (angles opposite to equal sides are equal)

In ΔAOB

∠OAB + ∠OBA + ∠AOB = 180° (Angle sum property of triangle)

2∠OAB + 67 = 180

2∠OAB = 180 - 67

2∠OAB = 113

∠OAB = 56.5°

So, ∠BAC = 56.5°

Therefore, 3rd Option is correct.

kifflom [539]3 years ago

7 0

113° . i hope this helps

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