x + 2x = 6x = 180 9x = 180 9x/9 = 180/9 x = 20....theres you answer
X=30
angle with smallest measure - apex
X
shortest
true
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 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
angle with smallest measure - apex
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
54 degrees
80
The shortest side of a triangle is opposite to the smallest interior angle.
angle with the greatest measure
It is usually its smallest side
X
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.