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Describing Angles

Describing Angles 1.6 - Solution

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a
If you bisect an angle you draw a ray which splits the angle into two smaller angles each with a measure half that of the original angle. If is acute, its measure is in the following interval.

After we bisect the resulting angles are identical and these angles will have a measure which is half as big as . If is one of the smaller angles, then the following is true. Thus the two smaller angles will be acute.

b
If you have a right angle it is The angles that are created when you bisect it will be half as big, that is they will have the measure An angle with the measure is acute.
c
When an angle is bisected, two angles half as big as the original angle are created. If we have an obtuse angle it will have a measure in the following interval.

If we bisect the angle is split into two identical angles that both have a measure half of If we call one of the smaller angles then its measure will be in the following range. An angle in that interval is acute.

d
An angle is said to be straight when its measure is If you bisect such an angle you will get two angles, each with the size half that of the straight angle. The resulting angles will get the measure

An angle with the measure is called a right angle.