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Is the supplement of an acute angle acute?
No, it must be obtuse.
If two angles of a triangle are acute must the the third angle always be acute?
No. In fact, if one of the angles is not acute (a right angle or obtuse), the other two must be acute.
Is it true that every angle of an acute angle is acute?
yes. to be and acute angle, all angles must be acute. Obtuse angles only one angle has to be obtuse. Right angles only need one too. Acute has to have every angle to be acute, if one angle is obtuse or right, it's automatically no an acute Angle anymore.
Does an isosceles triangle have to have three acute angles?
No. The angle that isn't acute must be the unique angle, though.
What type of polygon must have angles that each measure 108?
Assuming that you mean the inside angle is 108 the answer is a pentagon. Each angle inside the polygon forms an acute angle on the outside with the next side. The measurement of the exterior acute angle is: 180 - 108 = 72 . Since all the acute angle around the outside must add up to 360 we find: 360 / 72 = 5 There are five acute angles and therefore five sides to the polygon.
