Respuesta :

altavistard
The angles are the only constraint here that counts.  If one of the three interior angles of a supposed triangle is 50 degrees and another is 80 degrees, then the third angle must be 50 degrees.  Thus, we have a 50-50-80 triangle, which is isosceles though not a right triangle.  If 4 feet is a measure of one of the equal sides of a supposed triangle, then obviously the adjacent side also has measure 4 ft.

The set of angles remains the same (50-50-80), but subject to the constraint mentioned above, the measure of any one of the sides has infinitely many possible values, so long as those values are positive.

The number of unique triangles that can be constructed from the given values is; Only one triangle

We are given the 2 angles of a triangle as;

∠1 = 50°

∠2 = 80°

      Now, we know that sum of angles in a triangle is 180°. This means that if the third angle is denoted as ∠3, then we have;

∠1 + ∠2 + ∠3 = 180°

Thus;

∠3 = 180 - (∠1 + ∠2)

∠3 = 180 - (50 + 80)

∠3 = 180 - 130

∠3 = 50°

Thus; ∠1 = ∠3 = 50°

A triangle with two equal angles is called an isosceles triangle. Which means that it will also have 2 of its' sides to be equal.

Thus, in conclusion, only one unique triangle can be drawn.

Read more at; https://brainly.com/question/4987857

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