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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
If two of the angles of a parallelogram each measure 75 degrees what is the measure of the other two angles?
They measure 105 degrees each.
If four angles of a hexagon measure 53 degrees 126 degrees and 117 degrees what is the sum of the measure of the other two angles?
64 degrees because the total of the angles has to equal 360 degrees for it to be a hexagon.
If three angles in a hexagon measure 140 degrees what are the measures of the other three angles?
55 degrees
If a parallelogram has an angle measure of 37 degrees what are the measures of its other 3 angles?
Its other 3 angles are 37 degrees, 143 degrees and 143 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 the numbered angles in each rhombus 112 degrees?
If the rhombus has two angles of 112 degrees - then the other two angles must total 136 degrees.
Given two parallel lines with a transversal if one of the angles measures 50 degrees what are the measures of all the other angles?
All acute angles measure 50 degrees. All obtuse angles are supplementary to the acute angles, so they measure 130 degrees.
When two parallel lines are cut by a transversal angles A and B are alternate interior angles that each measure 105 and deg. What is the measure of each of the other alternate interior angles?
Each other of the alternate angles will measure 75 degrees because there are 180 degrees on a straight line.
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
Two angles are complementary the measure of one angle is 21 more than twice the measure of the other angle find the measures of the angles?
23 degrees and 67 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 five angles of a heptagon have measures of 80 degrees 85 degrees 175 degrees 90 degrees140 degrees and if the other two angles are congruent what is the measure of each of the other two angles?
Total interior angles ((2 x 7) - 4) right angles ie 900 degrees. Given angles total 570 degrees so each of the other angles is (900 - 570)/2 ie 165 degrees.
