Question

Find myz in the picture below (Geometry)

Answer 1

x = 12

arcYZ = 108degrees

Explanation:

In geometery, angle in the same segment of a circle are equal. Hence;

m<A = ,<X

4x+6 = 5x - 6

4x - 5x = -6 - 6

-x = -12

x = 12

<A = 4x + 6

<A = 4(12) + 6

<A = 48 + 6

<A = 54 degrees

Since <A = 1/2 arcYZ

54 = 1/2 * arcYZ

arc YZ = 54 * 2

arcYZ = 108degrees