ABCD Is quadrilateral inscribed in a circle such that BC =9cm ,BA=7.2cm,CBA=51 and ACD=29 calculate angle ADC
To find angle ADC, we can use the inscribed angle theorem, which states that the measure of an angle formed by two chords is half the measure of the intercepted arc.
In this case, angle ADC is formed by chords AD and CD, and it intercepts arc BC on the circumference of the circle.
Given that CBA = 51, we can find the measure of arc BC by subtracting it from the total angle around the circle, which is 360 degrees.
So, the measure of arc BC = 360 - CBA = 360 - 51 = 309 degrees.
Since angle ADC is formed by chords AD and CD, it is half the measure of arc BC.
Therefore, angle ADC = (1/2) * 309 = 154.5 degrees.
The measure of angle ADC is therefore 154.5 degrees.