can two obtuse angles be adjacent?

Yes. Two obtuse angles can be adjacent angles
An obtuse angle is one which is more than 90° but less than 180° 
In other words, it is between a right angle and a straight angle.

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Definately. They can be adjacent. If 1 angle is like this and the other is like this, it works out. ​
In this image, angle EOB is obtuse. It is also adjacent to angle EOD. In other words, 2 obtuse angles can be adjacent, but they cannot be adjacent on the same line. 
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Oh. I'm sorry. The image didn't load. But this image could be an example. There are 3 obtuse adjacent angles around a simgle point
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