Answer:
ZR = 145°
Explanation:
the secant- secant angle ZAR is half the difference of the measures of the intercepted arcs , that is
∠ ZAR =
( ZR - KV )
30 =
(5x + 10 - (3x + 4) ) ← multiply both sides by 2 to clear the fraction
60 = 5x + 10 - 3x - 4
60 = 2x + 6 ( subtract 6 from both sides )
54 = 2x ( divide both sides by 2 )
27 = x
Then
ZR = 5x + 10 = 5(27) + 10 = 135 + 10 = 145°