1. Work with Cirlces

Hi I need help with the following questions. Please, let me know if the solutions I have done are correct or not. Thanks

2. Re: Work with Cirlces

Q 1. angle BAC will be equal to angle BDC. We know that angles made by a chord in a segment are equal. Hence angle BAC = 40 dgree

3. Re: Work with Cirlces

Q.2. Use the theorem: Angles by a chord in a segment are equal.
Thus angle ABC = angle ADC = 51 degree
Angle D = 79 degree As you have rightly found.
Thus angle ADB = 28 degree

4. Re: Work with Cirlces

Q 3 . You are on the right line. angle AOB = angle BOC = 35 degree. Thus angle AOC = 70 degree
Hence reflex angle AOC = 360 - 70 = 290 degree