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How do I find these measures ??

How do I find these measures ??-example-1

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Alrighty. We know that segment IJ is a straight angle, meaning that it is 180 degrees. Angle KOJ is a right angle, which is 90 degrees. On the same segment, angle GOI is 31 degrees.

First, add GOI and KOJ together.
31+90=121
Then, subtract that from your straight angle.
180-121=59 degrees.

Measure of angle KOG is 59 degrees.

Now, take your straight angle again, and subtract JOH from it.
180-31=49 degrees.

Measure of angle IOH is 49 degrees.
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User Nick Otten
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