PLEASE HELP!
Find the value of z. A. 40 B. 80 C. 56 D. 62

Answer:
A
Step-by-step explanation:
The secant- tangent angle 50° is half the difference of the measures of the intercepted arcs, that is
[tex]\frac{1}{2}[/tex](210 - x) = 50 ( multiply both sides by 2 )
210 - x = 100 ( subtract 210 from both sides )
- x = - 110 ( multiply both sides by - 1 )
x = 110°
The sum of the 3 arcs on the circle = 360°
210 + x + z = 360
210 + 110 + z = 360
320 + z = 360 ( subtract 320 from both sides )
z = 40°