Question

PLEASE HELP WILL MARK BARINLIEST

Answer 1

Answer:
`\angle CYZ=60^(\circ)`

Explanation:

`\overline{CZ}=\overline{CY}` (radii of a circle)

`\implies \overline{YZ}=\overline{CZ}=\overline{CY}`

`\therefore \angle CYZ=60^(\circ)` (equilateral triangle)

Answer 2

<CYZ = 60 degrees

Explanation:

CY = CZ ==> both segments are radiuses of the circle since they both have

a CenterPoint at Point C and a point touching the edge of the

circle

CY = YZ ==> Since CY=CZ and YZ=CZ, CY also equal YZ. In addition, this

means that CY, YZ, and CZ are all radiuses of the circle

Hence, CY = YZ = CZ.

Since all sides of the triangle are equal, that means that all angles of the triangle are equal as well:

<CYZ + <CZY + <YCZ = 180 ==> 180 is the total degrees in a triangle

<CYZ + <CYZ + <CYZ = 180 ==> all angles have the same measure

3 * <CYZ = 180 ==> solve for <CYZ

(3 * <CYZ)/3 = 180/3 ==> divide by 3 on both sides to isolate <CYZ

<CYZ = 60 degrees