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Q: What is the number of degrees in an angle which is 36 degrees more than twice its complement?
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Half the supplement of an angle is 12 degreees less than twice the complement of the angle Find the measure of the angle?

40 degres


What is the measure of the angle whose complement is 30 more than twice the angle?

You have a hybrid problem, one that requires a knowledge of algebra and rudimentary geometry. First, you have to know what the complement of an angle is. If the sum of the measures of two angles equals 90 degrees, they are complements. For example, if two angles have measures of 30 degrees and 60 degrees, they are complementary angles. Put another way, you could say that 60 degrees is the complement of 30 degrees, because 90 - 60 = 30. The second thing is far more difficult: you need to figure out a way to set up an algebraic equation from the words given in the question. Not easy. But let's give it a go. We need to be systematic about it. Let x = "the angle" you are looking for. Let 90 - x = the angle's complement. Let 2x = "twice the angle." And let 2x + 30 = "30 more than twice the angle." Can you see how this is developing? I think we have all the mathematical building blocks -- the words of the equation -- to match the English words. Since the complement is 30 more than twice the angle, the equation is 90 - x = 2x + 30 Now, you must use your algebra skills to solve for x. First, add x to both sides of the equation 90 = 3x + 30 Next, subtract 30 from both sides 60 = 3x Now, divide both sides by three 20 = x So, x = 20. Check the answer. Does it make sense? Let's see. If the angle is 20, its complement is 70. Twice the angle is 40. Is 70 thirty more than 40? Yep. Algebra works!


An acute angle called apb has inside it angle cpb. Angle cpb is 17 degrees and angle apc and cpb are congruent. What is the angle of apc?

Angle cpb is given as 17 degrees, and it's inside angle apb. Additionally, angle cpb is congruent to angle apc. That means angle apb is twice angle cpb, or twice 17 degrees, or 34 degrees.


What if The second angle of a triangle is 20 degrees greater than the first angle. The third is twice the second. Find the three angles.?

Angle 1 = 30 degrees Angle 2 = 50 degrees Angle 3 = 100 degrees.


The supplement of an angle is 60 degrees less than twice the supplement of the complement of the angle what is the measure of the complement?

180-x= 2(90+x) - 60 180-x=180+2x - 60 -x=-60 x=60 Are you in my honors geometry class? The algebra is wrong. the third line should read -3x=-60 x=20 therefore the complement is 70o This agrees with the answer in the back of the book.

Related questions

The complement of an angle is twice the measure of the angle what is the measure of the complement?

The complement is 60 degrees.


If An angle is twice as large as its complement How large is the angle?

60 degrees.


If the supplement of an angle os twenty more than twice its complement what is the angle?

The angle is 20 degrees


If one angle is twice its complement then what is the number of degrees in the smaller of the two angles?

Complementary angles add up to 90 degrees. Smaller angle: x Larger angle: 2x 2x+x=90 3x=90 x=30 The smaller angle is 30 degrees.


How do you find the measure of angle A if the supplement of angle A is 20 degrees greater than twice the complement of angle A?

The supplement of A is 180 - A The complement of A is 90 - A So, 180 - A = 2*(90 - A) + 20 or 180 - A = 180 - 2A + 20 So A = 20 degrees


Will the angle always be 60 if its twice as large as its compliment?

The sum of an angle and its complement is always 90 degrees. There's only one way for one of them to be twice as large as the other one.


What would be an equation for the statement five times the complement of an angle less twice the angle's supplement is 40 degreesFind the measure of the supplement?

Suppose the supplement of the angle is x degrees. Then the angle is 180 - x degrees. Therefore the complement of the angle is 90 - (180 - x) degrees = x - 90 degrees. So 5*(x - 90) - 2*x = 40 Solve the above equation for x.


Half the supplement of an angle is 12 degreees less than twice the complement of the angle Find the measure of the angle?

40 degres


Britt says that twice an acute angle is always an obtuse angle Is she right?

No. Because twice an acute angle is 60 degrees and an obtuse angle is 120 degrees. So the answer is no


Two angles are supplementary If one angle measures twice the other what is the number of degrees in the larger angle?

120 (2/3 of 180)


What is the measure of the angle whose complement is 30 more than twice the angle?

You have a hybrid problem, one that requires a knowledge of algebra and rudimentary geometry. First, you have to know what the complement of an angle is. If the sum of the measures of two angles equals 90 degrees, they are complements. For example, if two angles have measures of 30 degrees and 60 degrees, they are complementary angles. Put another way, you could say that 60 degrees is the complement of 30 degrees, because 90 - 60 = 30. The second thing is far more difficult: you need to figure out a way to set up an algebraic equation from the words given in the question. Not easy. But let's give it a go. We need to be systematic about it. Let x = "the angle" you are looking for. Let 90 - x = the angle's complement. Let 2x = "twice the angle." And let 2x + 30 = "30 more than twice the angle." Can you see how this is developing? I think we have all the mathematical building blocks -- the words of the equation -- to match the English words. Since the complement is 30 more than twice the angle, the equation is 90 - x = 2x + 30 Now, you must use your algebra skills to solve for x. First, add x to both sides of the equation 90 = 3x + 30 Next, subtract 30 from both sides 60 = 3x Now, divide both sides by three 20 = x So, x = 20. Check the answer. Does it make sense? Let's see. If the angle is 20, its complement is 70. Twice the angle is 40. Is 70 thirty more than 40? Yep. Algebra works!


An acute angle called apb has inside it angle cpb. Angle cpb is 17 degrees and angle apc and cpb are congruent. What is the angle of apc?

Angle cpb is given as 17 degrees, and it's inside angle apb. Additionally, angle cpb is congruent to angle apc. That means angle apb is twice angle cpb, or twice 17 degrees, or 34 degrees.