Suppose the angle is x. Then its suplement is x/3.
So x + x/3 = 180 degrees.
ie 4x/3 = 180 or x = 180*3/4 = 135 degrees and its supplement is 135/3 = 45 deg.
So the angle and its supplement are 135 and 45 degrees respectively.
25
The angles are: 65 degrees and 115 degrees = 180 degrees
180 - 331/3 = 1462/3 degrees.
Let the second angle of the triangle be A. Then angle 1 = 2A : and angle 3 = 3A - 12 The internal angles of a triangle total 180° therefore :- 2A + A + (3A - 12) = 180 6A - 12 = 180 : 6A = 192 : A = 32 The angles measure 64° , 32° and 84° .
You cannot measure it exactly, but there is a little-known method of approximating it. You need to measure a distance of 3 inches from the vertex along each ray. Twenty times the length of the segment connecting these points is approximately the measure of the angle between the rays.
25
40-degrees 140-degrees
The angles are: 43.75 degrees and 136.25 degrees
a. because 3*180 = 540
let x = measure of the mystery angle and y = measure of its supplement By definition of supplement, x+y = 180 since any angle and its supplement sum to a straight angle The problem gives us that 3x = y Substituting in 3x for y in the supplement equation gives us x + 3x = 180 4x = 180 x = 180/4 x = 45 Check our answer: The supplement of 45 degrees is 180 - 45 = 135. 45*3 = 135. Therefore, the answer is 45 degrees.
The angles are: 65 degrees and 115 degrees = 180 degrees
Complimentary angles are ones that add to 90° Supplementary angles are ones that add to 180° Translate: The measure of a supplement of an angle (180-x) is (=)8 more (8+) than three times (3*) the measure of a complement (90-x). Find the measure of the angle? 180 - x = 8+3(90-x) 180 - x = 8 + 270 - 3x 180 - x = 278 - 3x - x = 98 - 3x 2x = 98 x = 49 Check: The measure of the supplement (131) is 8 more than 3 times the compliment (41) 41 * 3 + 8 = 131 123 + 8 = 131 ■
The supplement of an angle is (180) minus (the angle).Here we have an angle 'A', and we are told that: 2( 180 - A ) = 30 + 5( 180 - A ). We calculate:360 - 2A = 30 + 900 - 5A = 930 - 5A (clear parentheses)3A = 570 (Add 5A - 360 to both sides)A = 190 (Divide both sides by 3)Check:Its supplement is (180 - 190) = -102(-10) (?=?) 30 + 5(-10)-20 (?=?) 30 - 50-20 = -20 Yes !
180 - x = 3(90 -x) 180 - x = 270 - 3x 3x - x = 270 - 180 2x = 90 x = 45 The angle is 45 degrees (complement is 45, supplement is 135).
<p><p> 180-x=3(90-x)-60 180-x=270-3x-60 3x-x=270-180-60 2x=30 x=15
Suppose the angle is x degrees. Then its supplement is 180-x. One-third its supplement is (180-x)/3 = 60-x/3 so x/2 = 60-x/3+25 5x/6 = 85 ie x = 102.
120 Consider: You know that the supplement of an angle is equal to 180 minus the angle. You also know that an angle is twice it's supplement. Now, if you think of angle as being "A", and it's supplement being "S", then we can re-express the above statements like so: S = 180 - A A = 2S Then logically, we can replace the "S" in the second equation with the value we have for it in the first one: A = 2( 180 - A) and then solve that equation: ∴ A = 360 - 2A ∴ A + 2A = 360 ∴ 3A = 360 ∴ A = 360/3 ∴ A = 120