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Q: How are Two angles are supplementary and one of them is 31 and deg What is the size of the other angle?
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What is the measure of the smaller of the two supplementary angles if the measure if the measure of one angle is one fourth the measure of the other angle?

The easiest way (for me) to solve this type of question is to put it into an equation in terms of x.Since one angle is 1/4 the size of the other, the two angles would be x and 1/4x, or 4x and x (I suggest using 4x and x).Since the angles are supplementary, their sum is 180 degrees.4x+x=1805x=180x=36 degrees


How do you find the size of an angle without using a protractor?

If the angle is a lone, random angle, I believe you would need a protractor to determine the precise size of the angle (in "degrees"). However, you could, in this case, roughly guess as to whether the angle is acute, obtuse, or right (if the little rectangle is shown in the angle). Of course, if an angle is in a position where one can determine its measure using known postulates or theorems, finding the size of this angle becomes much easier. For example, if you know the measure of one angle and you must determine the measure of another angle, but these two angles are vertical angles, or are corresponding angles (by the corresponding angles postulate), you can indeed determine the measure of this angle without a protractor. Additionally, another example is that if you knew a pair of angles were either supplementary angles, complementary angles, or a linear pair, and you were given the measure of one of these angles, you could determine the measure of the other angle without a protractor. Therefore, it depends on the angle you're looking at.


What is the size of two angles that meet at a right angle?

The combined size of the other two angles of a right triangle is 90 degrees.


How do you determine the measurement of a missing angle in a angle?

To find the measure of an angle, you need to know the size of the entire angle and the other angles within the angle. Then, you subtract the smaller, known angles from the entire, large angle and you should get the measure of the missing angle.


What is the size of an angle whose complement is 25 percent of its supplement?

Angle: 60°(pi/3 Rad)Complementary angle: 30°(pi/6 Rad)Supplementary angle: 120° ( 2 pi/3 Rad)30/120=.25Method used to obtain:Complementary angles are (90° - the angle): 90-x. Supplementary angles are (180°- the angle): 180-x. But, the Comp is only 25% of the Supp so multiply the Supp by 25% (divide by 4) and set them equal to each other and then solve for x.90-x=(180-x)/44(90-x)=180-x360-4x=180-x180=3xx=60

Related questions

What does supplement mean in math?

A supplement to an angle in Geometry is a second angle with a size equal to the difference between 180 degrees and the size of the first angle. If the size of two angles is 180 degrees, then the angles are 'supplementary".


A regular polygon an exterior angle of 30 What is the size of the interior angle?

Exterior angles are supplementary with interior angles, so 180-30=150


What is the measure of the smaller of the two supplementary angles if the measure if the measure of one angle is one fourth the measure of the other angle?

The easiest way (for me) to solve this type of question is to put it into an equation in terms of x.Since one angle is 1/4 the size of the other, the two angles would be x and 1/4x, or 4x and x (I suggest using 4x and x).Since the angles are supplementary, their sum is 180 degrees.4x+x=1805x=180x=36 degrees


How do you find the size of an angle without using a protractor?

If the angle is a lone, random angle, I believe you would need a protractor to determine the precise size of the angle (in "degrees"). However, you could, in this case, roughly guess as to whether the angle is acute, obtuse, or right (if the little rectangle is shown in the angle). Of course, if an angle is in a position where one can determine its measure using known postulates or theorems, finding the size of this angle becomes much easier. For example, if you know the measure of one angle and you must determine the measure of another angle, but these two angles are vertical angles, or are corresponding angles (by the corresponding angles postulate), you can indeed determine the measure of this angle without a protractor. Additionally, another example is that if you knew a pair of angles were either supplementary angles, complementary angles, or a linear pair, and you were given the measure of one of these angles, you could determine the measure of the other angle without a protractor. Therefore, it depends on the angle you're looking at.


What is the size of two angles that meet at a right angle?

The combined size of the other two angles of a right triangle is 90 degrees.


How do you determine the measurement of a missing angle in a angle?

To find the measure of an angle, you need to know the size of the entire angle and the other angles within the angle. Then, you subtract the smaller, known angles from the entire, large angle and you should get the measure of the missing angle.


What is the size of an angle whose complement is 25 percent of its supplement?

Angle: 60°(pi/3 Rad)Complementary angle: 30°(pi/6 Rad)Supplementary angle: 120° ( 2 pi/3 Rad)30/120=.25Method used to obtain:Complementary angles are (90° - the angle): 90-x. Supplementary angles are (180°- the angle): 180-x. But, the Comp is only 25% of the Supp so multiply the Supp by 25% (divide by 4) and set them equal to each other and then solve for x.90-x=(180-x)/44(90-x)=180-x360-4x=180-x180=3xx=60


What are the angle size of angles on a heptagon?

Any size you like. here are no restrictions on the size of individual angles.


What is the supplementary angle of a 24 sided polygon?

A polygon (with more than 3 sides) can have an angle of any measure between 0 and 360 degrees. If it is a reflex angle, it cannot have a supplement. Even if a supplementary angle exists, its size is indeterminate.


What is the size of each interior angle of a regular polygon with 28 sides?

The easiest way to calculate this is to calculate the exterior angle and use the fact that the exterior and interior angles are supplementary. Sum exterior angles = 360° → Each exterior angle of a regular 28-agon is 360° ÷ 28 → Each interior angle of a regular 28-agon = 180° - 360° ÷ 28 = 167 1/7° ≈ 167.14°


What is the size of each interior angle of a regular decagon?

A ten-sided polygon. The sum of the angles of a decagon is 1440°. so 1440°÷10=144° ---------------------------------------------------------------------------- The easiest way to calculate this is to calculate the exterior angle and use the fact that the exterior and interior angles are supplementary. Sum exterior angles = 360° → Each exterior angle of a regular decagon is 360° ÷ 10 → Each interior angle of a regular decagon = 180° - 360° ÷ 10 = 144°


What is a complementary angle?

A complementary angle is an angle of a size so that when added to another angle, the two together equal 90 degrees.Complementary angles add up to 90 degrees whereas supplementary angle add up to 180 degrees