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

PLEASE HELP! Find the value of z. A. 40 B. 80 C. 56 D. 62-example-1
User DrMarshall
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1 Answer

6 votes

Answer:

A

Explanation:

The secant- tangent angle 50° is half the difference of the measures of the intercepted arcs, that is


(1)/(2)(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°

User StrayCatDBA
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