Question

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Answer 1

All corresponding sides are always the same so that would mean that x=32 and y would =23

Answer 2

x=32° y=35°

Explanation:

First we must find the value of x. Since x is opposite the angles with measure 32°, that means it must too be 32°, as they are vertical angles, which are always equal. To find the measure of y, we know that the measure of ∠AOB=180°, as it is a straight line. This means that x(32°)+23+m∠GOD+y=180°. We can simplify this by subtracting (32+23), or 55°, from both sides and get m∠GOD+y=125°. Since ∠GOD is opposite of right angle ∠COH, they are vertical angles, meaning ∠GOD=90°. This means that 90°+y=125°. Subtracting 90° from both sides gives you that y=35°.