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.
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
41
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
90 - 87 = 3 (half of the second angle)3 x 2 = 6 degrees (the second angle)90 - 6 = 84 degrees (first angle)