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Find the measure of the remote exterior angle. (Angles above)

Find the measure of the remote exterior angle. (Angles above)-example-1
User Linus Juhlin
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1 Answer

18 votes
18 votes

9514 1404 393

Answer:

B. 66°

Explanation:

The remote exterior angle (z) is the sum of the measures of the interior angles (x, y).

x + y = z

(5n -19) +(n +7) = (144 -6n)

12n = 156 . . . . . . . . . . . . . . . . . add 6n+12

n = 13 . . . . . . . . . . . . . . divide by 12

Then the measure of the remote exterior angle is ...

m∠z = (144 -6(13))° = (144 -78)°

m∠z = 66°

__

x = 46°

y = 20°

User Gaffcz
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