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 measure
of the smallest angle. The measure of the remainingangle is twice the
measure 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 =30º
Middle angle =60º
Largest angle =90º
angle with the greatest measure
The largest exterior angle measure is 120o. It is the exterior measure of an equilateral triangle (which is a regular polygon).
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.
Largest = 86, Smallest 26
From smallest to largest is known as putting data in ascending order.
The angle with the smallest measure is opposite the shortest side. Similarly, the angle with the largest measure is opposite the longest side.
90o. Let A be the size of the smallest angle. Then the three angles are A, A & 2A. The sum of the angles in a triangle is 180o, thus: A + A + 2A = 180o 4A = 180o A = 45o So the largest angle is 2A = 2 x 45o = 90o.
shortest side
In a scalene triangle, each side has a different length and each angle has a different measure. The longest side is always opposite the largest angle, while the shortest side is opposite the smallest angle. Therefore, the statement that the longest side is opposite the angle with the smallest measure is incorrect; it should be the opposite.
80
X
It is 90 degrees
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.
angle with the greatest measure
In a triangle, the longest side is opposite the largest angle. According to the triangle inequality theorem, if one side is longer than another, the angle opposite the longer side must also be larger. Conversely, the smallest side is opposite the smallest angle. This relationship helps in determining the relative lengths of sides and measures of angles within a triangle.
To determine which angle measure in a triangle is the largest, you can use the property that the largest angle is opposite the longest side. If the lengths of the sides are known, simply compare them; the side with the greatest length corresponds to the largest angle. Alternatively, if the angles are given, the largest value directly indicates the largest angle measure.
The answer depends on the cylinder.