9514 1404 393
Answer:
x = 50
y = 33
Step-by-step explanation:
In a right triangle the acute angles are complements of each other.
x = 90 -40
x = 50
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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.
