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The middle angle in a triangle measures 1 degree more than 2 times the smallest angle and 53 degrees less than the largest angle Find the measure of angles of the triangle?
Wiki User
∙ 14y ago
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
Wiki User
∙ 14y ago
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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.
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Cryptogram said 45, but what was the question?There is no punctuation, except for the last "?", so I will assume that when a word is capitalized, it starts a new sentence. Therefore the statements are:In a triangle the measure of the largest angle is 3 times the measureof the smallest angle. The measure of the remainingangle is twice themeasure of the smallest angle.Since "Measure of the largest angle" is a fragment of something, I will discard it (it could be a mistake of leftover text or could be an incomplete thought). I guess that the "?" at the end means that we are supposed to answer something, and the answer could possibly relate to the largest angle. If I supply all the angles, you will hopefully get your answer.Since L=3S and M=2S, and 3S+2S+S=180º, then 6S=180º, so Smallest angle =30ºMiddle angle =60ºLargest angle =90º
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?
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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?
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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.
