Question

In the adjoining figure, O is the centre of the circle, find the measure of angle X

Answer 1

Answer:

40 degrees

BOD is a diameter

Angle BAD is 90 degrees(angle in a semicircle is 90 degress)

so angle ABD is 40 degrees

angle ABD is equal to angle ACD(angle in the same segment)

x=40 degrees

Answer 2

<CDO = X , as triangle cod is isoceles triangle

<ADC =90⁰ , as angle subtended by diameter in circle

50+x =90

x = 40