76
It measures 104 degrees
Supplementary is what makes 180 degrees. 180-76=104
middle angle= 51 degrees smallest angle= 25 degrees largest angle= 104 degrees x=25 ; y=104 I can't really show you how I got the answer but I suggest you draw a picture and then it's much easier to figure out. We don't need a figure to compute the measure of the angles, since we know that the sum of the measure of angles in a triangle is 180 degrees. Let x be the smallest angle, so the middle angle is 1 + 2x, and the larger angle is 53 + 1 + 2x or 54 + 2x. Then we have: x + (1 + 2x) + (54 + 2x) = 180 5x + 55 = 180 5x + 55 - 55 = 180 - 55 5x = 125 5x ÷ 5 = 125 ÷ 5 x = 25 1 + 2x = 1 + 2(25) = 51 54 + 2x = 54 + 2(25) = 104
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.
8x = -104 Therefore, x = -104/8 x = -13
104
104 degrees
It measures 104 degrees
Supplementary is what makes 180 degrees. 180-76=104
104 degrees: 180 - (2 x 38)
(360 - 104)/2 = 128 degrees.
Complementary angles are acute angles. An angle that measures 104 degrees is an obtuse angle and therefore cannot have a complement.
38 degrees each
middle angle= 51 degrees smallest angle= 25 degrees largest angle= 104 degrees x=25 ; y=104 I can't really show you how I got the answer but I suggest you draw a picture and then it's much easier to figure out. We don't need a figure to compute the measure of the angles, since we know that the sum of the measure of angles in a triangle is 180 degrees. Let x be the smallest angle, so the middle angle is 1 + 2x, and the larger angle is 53 + 1 + 2x or 54 + 2x. Then we have: x + (1 + 2x) + (54 + 2x) = 180 5x + 55 = 180 5x + 55 - 55 = 180 - 55 5x = 125 5x ÷ 5 = 125 ÷ 5 x = 25 1 + 2x = 1 + 2(25) = 51 54 + 2x = 54 + 2(25) = 104
An angle that is 104 degrees would be considered an "Obtuse" angle. This is because the degrees in the angle are over 90.
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.
An angle of 104 degrees is an obtuse angle because it is greater than 90 but less than 180 degrees