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What are the sums of the angles in a triangle?
60 degrees for an equilateral triangle, but it depends on what kind of triangle you're dealing with.
What is the sum of the measures of the three angles of a scalene triangle?
In a scalene triangle, the angle sum is still 180 degrees. What defines a scalene triangle is that it has three sides with different lengths, and therefore, also different angles. It can be a right triangle for example, with the angles 30, 90, and 60 degrees. It's angle sum always sums up to 180 as in all triangles. Note: It doesn't have to be a right triangle. It can be any kind of triangle as long as it has three different angles and sums up 180 degrees.
Where did the Pascal Triangle first appear?
Hindu studies of combinatorics but Pascal discoevered more uses for it. If you add up the diagonals of Pascal's triangle, the sums are the entries of the Fibonacci Sequence.
Why every angle in an equiangular triangle must measure 60 degree?
because the sums of all angles in a triangle must always be 180. So with 3 equal angles they all have to be 60.
Can a triangle contain two 90 degree angles?
No, because a triangle needs three angles whose sums add up to 180 degrees. Since you already have the 180 degrees in 2 angles there is no room for a third. Without three angles, a shape cannot be a triangle.
