As many as you like but they will all be scalene triangles formed by the given angles that add up to 180 degrees
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The tricky part of the law of sines is knowing when you are able to use it. Whether you can use the law of Sine's or not depends on what information you have or were given. In some cases the information you were given could make two different triangles. There are three times when you can use the law of sines. One example of when you can use it is when you have the length of a side and the measures of both the angles that that side is adjacent to. This is called angle side angle or asa for short. Another time when you can use the law of sines is when you are given the measures of two angles and a side that is outside the angles. This is called aas. Finally the last case where you can use the law of sines is when you have two side lengths and the measure of an angle. Math teachers refer to this one as ssa, I remember that this one is special. If you are given the measure of an angle and two sides you could have two different triangles.
You're given side AB with a length of 6 centimeters and side BC with a length of 5 centimeters. The measure of angle A is 30°. How many triangles can you construct using these measurements?
An equilateral triangle would fit the given description
The answer will depend on the figure, the type(s) of symmetry and what information about is is given.
To draw an angle larger than a right angle, which measures 90 degrees, you can draw an obtuse angle. An obtuse angle measures more than 90 degrees but less than 180 degrees. To label the vertex "K," simply place the letter "K" at the point where the two rays of the angle meet.