Question

Find the value of x.

a. 45 degrees
b.90 degrees
c.68 degrees
d.22 degrees

Find the value of z.
a. 11 degrees
b. 68 degrees
c. 44 degrees
d. 22 degrees

Find the value of y.
a. 22 degrees
b. 90 degrees
c. 68 degrees
d. 38 degrees

Answer 1

B , D , C

Explanation:

the central angle x is equal to the measure of the arc that subtends it, so

x = 90°

similarly

z = 22°

similarly the central angle subtended by arc y° is y°

the 3 angles on the diameter sum to 180° , that is

x + y + z = 180°

90° + y + 22° = 180°

112° + y = 180° ( subtract 112° from both sides )

y = 68°