The number of unique triangle can be formed using the angles 30 degrees, 90 degrees and 100 degrees is 0.
What is triangle angle sum theorem?
According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.
The measure of angles are given as,
- A 90 degree angle
- A 100 degree angle
- A 30 degree angle
To create a triangle with these angles, the sum should be equal to 180 degree of three angles.
90+100+30 > 180
90+90+30 > 180
90+90+100 > 180
100+100+30 > 180
30+100+30 < 180
30+90+30 < 180
There is no combination of angles, which is equal to the 180 degree.
Hence, the number of unique triangle can be formed using the angles 30 degrees, 90 degrees and 100 degrees is 0.
Learn more about the triangle angle sum theorem here;
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