Help please , thank you!

Question

Thank you in advance!

http://s1039.photobucket.com/user/dani_doll98/media/IMG_7981_zpsdver87kp.jpg.html?sort=3&o=0

 

Answer 1

Step 1:

(a)

Observe the figure:

Inscribed angle theorem of circle:

If the inscribed angle measure x, the central angle will measure 2x.

.

The triangle DAB is right angled triangle and DB is the hypotenuse.

Therefore, .

Step 2:

(b)

Find .

Draw an angle bisector from A.

Angle .

Therefore, .

Redraw the figure:

From the triangle ACB: .

Therefore, .

Step 3:

(c)

Find .

From the triangle ACD: .

Therefore .

Step 4:

(d)

Find the length of AD.

From triangle ABD: .

Therefore,

Solution:

(a) .

(b) .

(c) .

(d)