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Find the values of x and y

Find the values of x and y-example-1
User Natan
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1 Answer

7 votes

9514 1404 393

Answer:

x = 50

y = 33

Explanation:

In a right triangle the acute angles are complements of each other.

x = 90 -40

x = 50

__

An exterior angle of a triangle is equal to the sum of the remote interior angles. Here, that means ...

71° +x° = 2y° +55°

16 +x = 2y . . . . . . . . . . . . . subtract 55°, divide by °

(16 +50)/2 = y = 33 . . . . . divide by 2 and substitute for x

The values of x and y are 50 and 33, respectively.

User Forker
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