Answer :
Base on the Circle O the measure of angle BAC is D. 56 degrees
How can the angle BAC be measured?
It should be noted that protractor can be used to measure an angle precisely however the angle is measured in degrees, and 360 degrees make up one full revolution.
m∠AOB = 68°
We can find the measure of ∠BAC. whereby O is the center of the circle. and OA, OB and OC are radii of the circle.
⇒ OA = OB = OC
In ΔAOB,
OA = OB
Whereby Angle opposite to equal sides are equal and Sum of all angles of a triangle = 180°
⇒ m∠OAB = m∠OBA ----------- (1)
m∠OAB + m∠OBA + m∠AOB = 180°
m∠OAB + m∠OAB + 73° = 180° (using (1))
2 m∠OAB + 68° = 180°
2 m∠OAB = 112°
m∠OAB = 53.5°
m∠BAC = m∠OAB
m∠BAC = 56°
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