Question

Find the value of x. If necessary, round your answer to the nearest tenth. O is the center of the circle. The figure is not drawn to scale.

https://study.ashworthcollege.edu/access/content/group/45b8c516-1008-46d7-aa1d-bb9b62c786ff/geometry_exam_12_files/mc003-1.jpg
A. 13
B. 26
C. 77
D. 38.5

Answer 1

What is the special feature of these sides
OA , OB , OC , OD ?

Answer 2

they r all the radius of the circle... so wt can u say about their length ?

Answer 3

They're all the same length?

Answer 4

yep!!
then if they r equal in length...

and
since AB = DC ( given in the diagram)

what can u tell about the triangle ABO and triangle ODC

Answer 5

They are congruent triangles?

Answer 6

haha :P u r getting it fast...

then finally what can u say about the corresponding angles of congruent triangles ?

Answer 7

They are all equal?

Answer 8

Grt job!... so...
angle DOC = angle ?

Answer 9

C.77?

Answer 10

yep!

Answer 11

Thank you soo much :)

Answer 12

u r welcome :)