Use angle facts and diagram structure to find unknown angle measures.
Use angle facts in a real situation
Problem
A door is opened \(35°\) from its closed position. When the door makes a right angle with the doorway, it is open \(90°\). How many more degrees does the door need to open to reach a right angle?
Big Picture
What this problem is really about
Separate the door’s current opening from the right-angle target. The question asks for additional movement, so model the current angle plus an unknown increase as the target rather than reporting either given amount. Subtract the current opening from the target, and verify that adding the increase back reaches a right angle exactly.
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