ABCD Is quadrilateral inscribed in a circle such that BC =9cm ,BA=7.2cm,CBA=51 and ACD=29 calculate angle BAC
To calculate angle BAC, we can use the property of an inscribed angle that states the measure of an inscribed angle is equal to half the measure of its intercepted arc.
Since BAC and BCD are inscribed angles that intercept the same arc, they must be equal. Therefore, BCD = BAC.
To find angle BCD, we can use the property of a cyclic quadrilateral that states opposite angles in a cyclic quadrilateral sum to 180 degrees. So, angle BCD + angle ACD = 180 degrees.
Substituting the given values, we have:
BCD + 29 = 180
BCD = 180 - 29
BCD = 151 degrees
Since BCD = BAC, we have:
BAC = BCD = 151 degrees.