riangle A B C is inscribed in circle K , and segment A C

Question

riangle A B C is inscribed in circle K , and segment A C

is a diameter of the circle.

In triangle A B C, angle A measures y°, angle B measures z°, and angle C measures 50°.
Question

Choose ,begin emphasis,one,end emphasis, correct value for y
and ,begin emphasis,one,end emphasis, correct value for z

.
Answer options with 6 options
A.

y equals 40

D.

z equals 50

B.

y equals 50

E.

z equals 80

C.

y equals 80

F.

z equals 90

Answer 1

The correct values for y and z in this scenario are as follows:

y equals 40

z equals 90

Since angle C is 50° and segment AC is a diameter of the circle, angle A must be a right angle (90°). Therefore, angle B must be 180° - 50° - 90° = 40°, giving us the value of y as 40. Additionally, since angle B is a right angle, angle C must be 90°, giving us the value of z as 90.