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What are the values of x and y in the figure ?

What are the values of x and y in the figure ?-example-1

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Answer:


x=64, y=72

Explanation:

Using the angle sum of a triangle,
x=180-57-59=64.

Thus, the left hand triangle has angles of 42°, 64° (using vertical angles), and y°. It follows that
y=180-42-64=74.

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