Q: Suppose two angles are complementary If one angle has a measure of 62 what is the measure of the second angle?

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The second angle must be 2 x (90 - 77) ie 26o, so the other is 64o

first you have to change this into equation by "translating" it into math. so let x= the first angle 90-x ( because complementary means they add up to 90) = the second angle x= (90-x) + 20 x+x = 90-x+20+x 2x = 90-20 2x = 70 x = 35 the smaller angle = 35 degrees

Let the first angle be x the second angle be 4x and the third angle be 80+4x+x: x+4x+80+4x+x = 180 Collect like terms: 10x = 180-80 10x = 100 x = 10 Therefore the measure of the second angle is 40 degrees.

Let the second angle be x degrees. The first angle would then be x + 24 degrees, and the third angle would be 4x degrees. According to the triangle angle sum theorem, the sum of all three angles in a triangle is 180 degrees. Therefore, you can set up the equation x + (x + 24) + 4x = 180 and solve for x to find the measures of all three angles.

Answer: first angle =52 degree, second angle = 128 degree. Solution: x+y=180 (1) x+y/4=84 now multiply both sides of last equation by 4: 4x+y=336 (2) subtract (1) from (2), ie. find (2) - (1): 4x-x + y-y = 336-180 3x=156 dividing last result by 3: 3x/3=156/3 x=52 substitue in eq. (1): 52+y=180 y=180-52=128

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The second angle must be 2 x (90 - 77) ie 26o, so the other is 64o

Lets assume that the first angle is A and the second angle is B. These two angles are complementary so their sum is 90. So if angle A is equal to 35, then this can be plugged into an algebraic formula: A + B = 90 (35) + B = 90 B = 55 The measure of the second angle is 55o

If the angles are A nd B, then A + B = 90 and A = B - 25 So B - 25 + B = 90 or 2B = 115 or B = 57.5 and then A = 32.5

Suppose the angle is x then the second is 5x. The two angles are supplementary so x + 5x = 180 or 6x = 180 so that x = 30 degrees.

Complementary angles are angles whose sum is 90° . Consequently, the value of any one angle can be any number less than 90°. The value of the second angle is the difference between 90 and the value of the first angle.

55 degrees

first you have to change this into equation by "translating" it into math. so let x= the first angle 90-x ( because complementary means they add up to 90) = the second angle x= (90-x) + 20 x+x = 90-x+20+x 2x = 90-20 2x = 70 x = 35 the smaller angle = 35 degrees

You can use various properties of angles to find the measure of the second angle. For example, if you can see that the two angles form a right angle, then you know they add up to 90°, so you can subtract the known measure from 90° to find the measure of the other.

The angles are 40, 80 and 60 degrees.

29 degrees Let x represent the number of degrees of the smaller angle and y the number of degrees of the larger angle. Because the angles are complementary, x+y=90. From the problem, x=y-32. Now solve the equations by substituting x from the second into the first: y-32+y=90 2y-32=90 2y=90+32=122 y=122/2=61 x=y-32=61-32=29

Setting up the equationsYou need to read the text of the question carefully and then set up equations that describe the words mathematically. So, let's break it down piece by piece."Two angles"Let's label the angles A and B. (You could have called them X and Y. It makes no difference what you call them. You could have called them Moe and Curly.)"are complementary"Two angles are complementary when their sum equals 90 degrees. So, if A and B are complementary, then A + B = 90. (That looks like an equation, doesn't it?)"one fourth the measure of the second angle"If we let A be the first angle, then that means B is the second angle. One fourth (the measure) of the second angle can be written 0.25B or (1/4)B or B/4. For this problem, I like 0.25B"the sum of the (measure of the) first angle and one fourth the (measure of the) second equals 78 degrees""Sum" implies addition. So we have A + 0.25B = 78. (That looks like another equation doesn't it?)Since we now have two equations, we can solve for the two unknowns, A and B.The first equation is A + B = 90. If you solve for A in terms of B, you get A = 90 - B. (If that has you puzzled, you'll need to brush up on your basic algebra.)Now, substitute 90 - B wherever you see an "A" in the second equation, so A + 0.25B = 78 becomes 90 - B + 0.25B = 78.Next, group like terms to get 90 - 0.75B = 78.Now solve for B. First, subtract 78 from both sides of the equation to get 12 - 0.75B = 0. Next, add 0.75B to both sides to get 12 = 0.75B. Finally, divide both sides by 0.75, which gives you 16 = B, or B = 16.If B = 16, then A = 90 - B = 90 - 16 = 74 degrees. Your two angles, A and B, are 74 and 16, respectively. Does that make sense? Let's see. Both angles add up to 90, which means they are complementary. And A plus one fourth of B is 74 plus 4 equals 78. Yep. We re now very good to go.Thank you everybody and have a nice day. :)