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Find the angle measure and classify the angle

Find the angle measure and classify the angle-example-1

1 Answer

1 vote

Answer:

90°, and it's a right angle.

Explanation:

Reading a protractor is a lot like reading a number line.

Most often you'd be reading an angle like AOC (25°) or AOD (115°).

And you can still do that here.

But now recognize that COD is just AOD with AOC cut off. Do you see it? Then it's just a subtraction problem:

COD = AOD - AOC = 115 - 25 = 90°

How do you classify a 90° angle? Is it acute or obtuse? No, it's a right angle.

Alternate Method:

I started out talking about number lines because that's how I first saw the problem, then talked myself into the above answer.

But look at ray OC where it crosses the "number line" or the angle rule: doesn't it cross at 25? And ray OD crosses at 115. And just like on a number line, you can find the difference between those two numbers. That's 90, which is the angle of COD.

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User Kalafun
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