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Two angles are complimentary if their sum is 90 degrees. find the angles of two complimentary angles if the second is five times the first?
Wiki User
∙ 14y ago
you have two unknowns: angle one (which we can call x), and angle 2 (which we can call y)
when you have 2 unknowns, you need to set up 2 equations
since they are complimentary, you know that 90 = x + y
we know that the second is 5 times the first, so x = 5y
if we substitute 5y for x in the first equation, we get: 90 = 5y + y = 6y
90/6 = 15. we now know that 15 is the measure of angle 2
All we need to do know is 90-15, which equals 75 to get are measure for angle 1
Wiki User
∙ 14y ago
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Two angles are complimentary The sum of the measures of the first angle and half the second angle is 87.75 degrees Find the measures of the angles?
"Complimentary" means "adds to 90°" x is the first angle, so (90-x) must be the other x + (90-x)/2 = 87.75 x + 45 - (x/2) = 87.75 (x/2) = 42.75 x = 85.50° ◄ Other angle must be 4.50° ◄ Check it: 85.50 + (4.50/2) = 87.75 85.50 + 2.25 = 87.75 ■
The second angle in a triangle is one third as large as the first the third angle is two thirds as large as the first angle find the angle measures?
Let's assume the measure of the first angle is x degrees. The second angle is one-third as large as the first, so its measure is (1/3) * x = x/3 degrees. The third angle is two-thirds as large as the first, so its measure is (2/3) * x = 2x/3 degrees. Therefore, the measures of the angles in the triangle are x degrees, x/3 degrees, and 2x/3 degrees.
The measure of the second angle in a triangle is five less than the first. The third angle is thirteen more than twice the first. Find the measure of each angle?
The angles are: 43 degrees. 38 degrees and 99 degrees which all add up to 180 degrees
Two angles are supplementary.The second angle has a mesaure five times that of the first Find the measure of the angle?
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.
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.
What is the complement of an angle that measures 40 degrees?
A pair of complimentary angles has a sum that measures 90 degrees. If your first angle is 40 degrees, the complement must equal 50. 90= 40+X 50=X
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.
If you know the degrees of two angles in a triangle but must find out the third would you add the two angles and divide by 2?
No. The three angles, together add to 180 degrees. So you should add the two angles and take their sum away from 180. Example: first angle 35 degrees, second angle 75 degrees 1. Sum of first two angles = 35 + 75 = 110 degrees. 2. 180 degrees - 110 degrees = 70 degrees. 3. Answer: third angle = 70 degrees.
Two angles are complimentary The sum of the measures of the first angle and half the second angle is 69.5 degrees Find the measures of the angles?
A system of equations needs to be created. Complimentary means that the two angles equal to 90 degrees. The first equation will be x + y = 90 The second equation will be x + .5y = 69.5 Using the elimination method multiply the first equation by -1 This will leave us with -x - y = -90 Add the second x + .5y = 69.5 X is eliminated When adding -y = -90 and .5y = 69.5 we are left with: -.5y = -20.5 Divide by -.5 y = 41 This is the second angle Substitute 41 for y in the first equation x + 41 = 90 x = 49 This is the first angle To check substitute both numbers into the second equation 49 + .5(41) = 69.5 49 + 20.5 = 69.5 69.5 = 69.5 Or Given the sum of the first angle and the half of the second angle is 69.5, means that the second angle is 2(90 - 69.5) = 41. Therefore, the first angle is (90 - 41) = 49.
Two angles are supplements the first angle measures 60 degrees what is the measurement of the second angle?
120
Two angles are complimentary The sum of the measures of the first angle and half the second angle is 87.75 degrees Find the measures of the angles?
"Complimentary" means "adds to 90°" x is the first angle, so (90-x) must be the other x + (90-x)/2 = 87.75 x + 45 - (x/2) = 87.75 (x/2) = 42.75 x = 85.50° ◄ Other angle must be 4.50° ◄ Check it: 85.50 + (4.50/2) = 87.75 85.50 + 2.25 = 87.75 ■
Two angles are complementary - the second angle measure 42 less the first angle - What is the measure of the 1st angle?
41
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.
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".
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 and Acirc and deg. What is the measurement of the second angle?
55 degrees
Two angle are supplementary the first angle measures 60 degrees what is the measurement of the second angle?
the other angle has to be 120 degrees, so that both angles add up to 180 degrees.
