codman385 codman385
  • 15-08-2020
  • Mathematics
contestada

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

PLEASE HELPFind the value of z A 40 B 80 C 56 D 62 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 15-08-2020

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°

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