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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
What else can I help you with?
The smallest angle in a triangle is one-half the size of the largest The middle angle measures 25degrees less than the largest Find the measures of the three angles?
Sum of all the angles in the triangle has to be 180 degrees. Let's mark the largest angle as x. Then, smallest angle will be 0.5x and the middle one x-25. x + 0.5x +x - 25 = 180, which is after simplyfying: 2.5x = 205 x = 82 degrees -> the largest angle, x-25 = 57 degrees -> middle one, 0.5x = 41 degrees -> the smallest angle.
What is the largest angle of a triangle with vertices at -2 0 and 0.5 1.5 and 3.5 -3.5?
The given vertices when plotted on the Cartesian plane will form a right angle triangle and so therefore its largest angle is 90 degrees.
What is the biggest angle you can have in a triangle?
Well, honey, the biggest angle you can have in a triangle is 180 degrees. That's because the sum of all angles in a triangle is always 180 degrees. So if you've got one angle that's 180 degrees, the other two angles gotta be zero, which basically means you ain't got no triangle at all.
What is the largest and smallest perimeter possible for a rectangle with a area of 42?
Largest = 86, Smallest 26
What is the term for data in order form smallest to largest?
From smallest to largest is known as putting data in ascending order.
What measures of the three angles of a triangle form an arithmetic sequence If the smallest angle measures 45 degrees What is the number of degrees in measure of the largest angle?
80
The smallest angle in a triangle measures 90 degrees less than the largest angle The middle angle measures 60 degrees less than the largest angle?
The angles are, 20°, 50°, and 110°.
Is it true that the largest angle of a triangle is between the two longest sides?
Not always because the largest angle of a right angle triangle is between its smallest sides which measures 90 degrees
The smallest angle in a triangle is one-half the size of the largest The middle angle measures 25degrees less than the largest Find the measures of the three angles?
Sum of all the angles in the triangle has to be 180 degrees. Let's mark the largest angle as x. Then, smallest angle will be 0.5x and the middle one x-25. x + 0.5x +x - 25 = 180, which is after simplyfying: 2.5x = 205 x = 82 degrees -> the largest angle, x-25 = 57 degrees -> middle one, 0.5x = 41 degrees -> the smallest angle.
If the largest angle of an isosceles triangle measures 106 find the measure of the smallest angle?
The smallest angle would be = 38 degrees. Proof: Base angles of an isosceles triangle must equ All angles of the triangle must add up to 180 degress considering that the known angle is not under 89 degrees the other two must equal, yet both add up to 76 degrees.
The largest angle of a triangle is 100 degrees larger than the smallest angle If the third angle exceeds the smallest by 5 degrees how many degrees are there in each angle of the triangle?
When doing these types of problems, start with the fact that the sum of the angles in any triangle is 180 degrees (Any planar triangle that is.)So let the smallest angle be x. The largest angle is x+100 since we are told the largest angle is 100 degrees larger than the smallest angle.Now the third angle is x+5 by the same reasoning.So now we add x+x+5+x+100=1803x+105=1803x=75so x=25.The smallest angle is 25 degrees.The largest is 125 degrees and the third angle is 30 degree.Note that 125+25+30 is 180 as desired.
The smallest angle in a triangle measures 90 degrees less than the largest angle the middle angle measures 60 degrees less than the largest angle find the measure of each angle?
S + M + L = 180 S = L - 90, M = L - 60 so (L - 90) + (L - 60) + L = 180 ie 3L = 180 + 90 + 60 L = 60 + 30 + 20 , = 110 degrees, so M = 50 degrees and S = 20 degrees
Relations among the angles of a triangle?
In a triangle, the sum of the angles is always 180 degrees. This is known as the angle sum property of triangles. Additionally, the largest angle in a triangle is always opposite the longest side, and the smallest angle is opposite the shortest side.
Is an obtuse triangle a right triangle?
its a triangle * * * * * No, it an obtuse triangle is not a right angle triangle. An obtuse angled triangle has one angle which is greater than 90 degrees and the other two are acute. In a right angled triangle, the largest angle is 90 degrees while the other two are acute. So one cannot be the other.
What are the angles from smallest to greatest in a triangle that has sides of 8.3cm 5.4cm and 7.1cm?
If you know all three sides of a triangle, you can calculate the angles using the law of cosines. If you only want to know which angle is the smallest, it is much simpler: The angle that is opposite to the smallest side is the smallest angle; the angle that is opposite to the largest side is the largest angle.
Can the measures of an acute triangle be x x-1 and 2x?
No. Since x + (x-1) + 2x = 180 degrees ie 4x - 1 = 180 degrees, if follows that 2x > 90 degrees. So the largest angle is obtuse.
What is the largest angle of a triangle with sides of 14 cm 8.5 cm and 9 cm?
The largest angle of the triangle will be opposite its largest side and by using the Cosine Rule it works out as 106.23 degrees.
