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Can you measure an angle with a compass?
Not sure if this will help, but you may try: http://www.mathopenref.com/constcopyangle.html
How are angle measurements used in real life?
They could help construct buildings is the only one i could think of
How to measure the angle of wiper?
A protractor will help
How can a right angle help you decide wheather another angle is acute or obtuse?
if the angle is wider than a right angle its obtuse if the angle is smaller its acute like small things are cute that's how i remember it:)
How do you construct an octagon?
You didn't specify 'out of what' so I will approach this from the point of view on how to determine the angles of the pieces. If it is a single board, the angles would be 45 degrees (360 deg. to a circle / 8 sides). Starting with a circle drawn with a compass or trammel points would help with accuracy when laying out. If it is to be made of straight parts, 8 pieces would have angles of 22.5 degrees on each end. When put together, each pair will form a 45 deg. angle. In order to not be lop-sided, each piece must be exactly the same length.
