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You can measure angles in degrees. However, The other common measurement for angles is radians. For this measurement, consider the unit circle (a circle of radius 1) whose center is the vertex of the angle in question. Then the angle cuts off an arc of the circle, and the length of that arc is the radian measure of the angle. It is easy to convert between degree measurement and radian measurement. The circumference of the entire circle is 2 ( is about 3.14159), so it follows that 360° equals 2 radians. Hence, 1° equals /180 radians, and 1 radian equals 180/ degrees.
Most calculators can be set to use angles measured with either degrees or radians. Be sure you know what mode your calculator is using.
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If three angles in a hexagon measure 140 degrees what are the measures of the other three angles?
55 degrees
What size are the angles inside a pentagon when two are 85 degrees and 95 degrees with the other angles all being equal in size?
The other three angles will each measure 120 degrees.
What is the measure of angle if 2 angles are supplentary and one angle is 176 degrees?
the other is 4 degrees. supplementary angles add to 180 degrees
In a triangle one of these angles is 99 degrees The measure of the middle angle is 23 degrees more than the measure of the smallest angle What are the measures of these two angles?
It works out that the other two angles are 29 degrees and 52 degrees. Check: 29+52+99 = 180 degrees
If two angles are complementary and one of them is 32 degrees what must be the measure of the other?
58, complementary means the angles add to 90 degrees
