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can an acute angle be adjacent to obtuse angle?

Hey there! Yes, an acute angle can be adjacent to an obtuse angle. In this diagram you can see one of the angles in the linear pair ( two angles sharing a common vertex, common arm and are adjacent to each other ) is 45 degrees ( which is an acute angle ) and the other angle is 135 degrees ( the angle on the left side ) and it is an obtuse angle.

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Adjacent angles, often abbreviated as adj. s, are angles that share a common vertex and edge but do not share any interior points. In other words, they are angles that are side by side, or adjacent, sharing an "arm". Adjacent angles which sum to a right angle, straight angle or full angle are special and are respectively called complementary, supplementary and explementary angles

so ans. to your Q is YES

hope it is helpful

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