72
40 degres
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!
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.
Angle 1 = 30 degrees Angle 2 = 50 degrees Angle 3 = 100 degrees.
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.
The complement is 60 degrees.
60 degrees.
The angle is 20 degrees
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.
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
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.
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.
40 degres
No. Because twice an acute angle is 60 degrees and an obtuse angle is 120 degrees. So the answer is no
120 (2/3 of 180)
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!
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.