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If the ratio of the measures of two complementary angles is 3 to 2 then what is the measure of each angle?
Wiki User
∙ 15y ago
Two complementary angles, let's call them A & B, when added together = 90 degrees. We also know that the ratio of angle A to angle B is 3:2. Using some basic algebra we can solve for each angle. We know that A + B = 90 (since the angles are complementary). We also know that A/B = 3/2. Cross-multiplying, we get 2A = 3B. Solving for A, we get A = 3B/2. So, substituting for A into the first equation, we get (3B/2) + B = 90. If we multiply both sides of the equation by 2, we get 3B + 2B = 180. So, 5B = 180. Solving for B yields B = 36. Since A + B = 90, we know that A = 90 - B = 90 - 36 = 54. Does that answer make sense? Let's check. Does 54/36 equal 3/2? Reducing 54/36 to lowest terms yields 3/2. Nice. So, A = 54 degress and B = 36 degrees.
Let the angles be 3x and 2x.
Both the angles are complementary angles.
Complementary angles are two acute angles that add up to give a right angle, 90°.
2x + 3x = 90
5x = 90
x = 18.
2x = 2(18) = 36
3x = 3(18) = 54
Complementary angles are angle pairs whose measures add up to 90 degrees.
Wiki User
∙ 15y ago
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What is the measure of an angle that is complementary to an angle that measures 75?
It is 15 degrees because complementary angles add up to 90 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
Can an angle have the measure as its complement?
Assuming two angles are complementary, an angle can have the same measure as it's complement when it measures 45 degrees. BECAUSE 45 +45 =90!!
Two angles are complementary the sum of the measures of the larger angle and three times the measure of the smaller angle is 114 degrees what is the measure of each angle?
The question is contradictory as complimentary angles are defined as having a sum of 90 degrees.
What complementary angle to a 70 degrees angle has a measure of?
Complementary angles add to 90 degrees so the complementary angle to 70 degrees has a measure of 20 deg.
What is the measure of an angle that is complementary to an angle that measures 75?
It is 15 degrees because complementary angles add up to 90 degrees
What is the measure of an angle that is complementary to angle that measures 75?
It is 15 degrees because complementary angles add up to 90 degrees
If the m angle A equals 30 then what is the measure of the complement of angle A?
60. Complementary angles' measures sume 90
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
Two angles are complementary One angle has a measure that is five times the measure of the other angle What is the measure in degrees of the larger angle?
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What is the measure of an angle complementary to an angle that measures 105 degrees?
An impossibility because complementary angles add up to 90 degrees but if its a supplementary angle then 180-105 = 75 degrees
Can an obtuse angle be both complementary and supplementary?
No, an obtuse angle cannot be both complementary and supplementary because the measures of complementary angles add up to 90 degrees, while the measures of supplementary angles add up to 180 degrees. An obtuse angle has a measure greater than 90 degrees, so it can only be supplementary, not complementary.
What is the complementary angle for an angle that measures 27 degrees?
Complementary angles total 90°. The complementary angle of 27° is 90 -27 = 63°.
Can an angle have the measure as its complement?
Assuming two angles are complementary, an angle can have the same measure as it's complement when it measures 45 degrees. BECAUSE 45 +45 =90!!
What is the measure of an angle that is complementary to an angle that measures 75 and Acirc and deg?
The complementary angle is 15 degrees
What does a complementary angle measure?
complementary angles- 2 angles that add up to 90 degrees
What is the measure of an angle complementary to an angle that measures 150?
Two angles are complementary if their sum equals exactly 90 degrees. Two angles are supplementary if their sum equals exactly 180 degrees, so a 30 degree angle is supplementary with a 150 degree angle.
