Given two angles that measure 50 degrees and 80 degrees and side that measures 4 feet, how many triangles, if any, can be constructed?

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; link

answer: idk

step-by-step explanation: