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Find two complementary angles such that the measure of the first angle is 25 degrees less than the measure of the second?
Wiki User
∙ 14y ago
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
Wiki User
∙ 14y ago
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If two angles are supplementary and one of them is 30 degrees what is the measurement of the second angle?
If two angles are supplementary, and one angle measures 30 degrees, then the second angle must measure 150 degrees. This is because by definition if two angles are supplementary, then they must up to 180 degrees.
Two angles are complementary The first angle measures 35 What is the measurement of the second angle?
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 two angles are complementary and the sum of the measure of the first angle and one-fourth the measure of the second angle is 78 degrees what are measures of the angles?
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. :)
If two angles in a parallelogram are equal to 35 degrees what are the measurements of the other two angles?
The sum of the internal angles in a parallelogram is 360 degrees. Since there are two equal pairs of angles measuring the same, then each of the second pair of angles is equal to (360 - (35 x 2)) / 2 = 145 degrees.
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".
Suppose two angles are complementary If one angle has a measure of 62 what is the measure of the second angle?
If two angles are complementary, then they equal 90 degrees. If one angle is 62 degrees we subtract it from 90 and get 38 degrees.
Two angles are complementary - the second angle measure 42 less the first angle - What is the measure of the 1st angle?
41
Two angles are complementary the sum of the measure the first angle and half the second the angle is 77 degrees find the measure of the angles?
The second angle must be 2 x (90 - 77) ie 26o, so the other is 64o
Two angles are complementary. The first angle measures 35 and Acirc and deg. What is the measurement of the second angle?
55 degrees
How many degrees is a complementary angle that has 2 angles?
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.
If two angles are supplementary and one of them is 30 degrees what is the measurement of the second angle?
If two angles are supplementary, and one angle measures 30 degrees, then the second angle must measure 150 degrees. This is because by definition if two angles are supplementary, then they must up to 180 degrees.
Two angles are complementary If the measure of one angle is 20 more than the measure of the second angle what is the number of degrees in the measure of the smaller angle?
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
Wo angles are complementary the second angle measures 32 degrees less than the first angle What is the measure of the first angle?
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
If two angles are complementary and the sum of the measures of the first angle and half of the second is 87?
90 - 87 = 3 (half of the second angle)3 x 2 = 6 degrees (the second angle)90 - 6 = 84 degrees (first angle)
Two angles are complementary The first angle measures 35 What is the measurement of the second angle?
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
In a triangle the measure of the first angle is 24 degrees more than the measure of the second angle. The measure of the third angle is four times the measure of the second angle. If the total number?
In a triangle the measure of the first angle is four times the measure of the second angle. The measure of the third angle is 18 degrees more than the second angle. What is the measure of the first angle? 68 43 17 95
The sum of the first two angles of a triangle are twice the measure of the third angle The first angle is half of the second angle What are the three angles?
The angles are 40, 80 and 60 degrees.
