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.
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.
It is usually its smallest side
80
Yes.
It is 90 degrees
The angle with the smallest measure is opposite the shortest side. Similarly, the angle with the largest measure is opposite the longest side.
shortest side
angle with smallest measure - apex
60
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
It is usually its smallest side
80
shortest
angle
X
The shortest side of a triangle is opposite to the smallest interior angle.
Yes.