Question

given two angles that measure 50 and 80 and a side that measures 4 feet how many triangles if any can be constucted

Answer 1

There is only one triangle possible having angle 50, 50, 80.

What is isosceles triangle?

An Isosceles Triangle has the following properties:

• Two sides are congruent to each other.
• The third side of an isosceles triangle which is unequal to the other two sides is called the base of the isosceles triangle.

• The two angles opposite to the equal sides are congruent to each other.

It is given that, 2 angles of a triangle as:

∠1 = 50°

∠2 = 80°

Now we know the Angle sum property of a triangle that sum all three interior angle in a triangle is $180^{0}$.

i.e., ∠1+∠2+∠3= $180^{0}$.

So, 50° +80°+ ∠3 = $180^{0}$

                       ∠3 =  50°

As two angles of the triangle are equal that means it is a isosceles triangle.

There is no possibility of getting a right angles triangle.

Hence, there is only one triangle possible with these measurements .

Learn more about triangles here:

brainly.com/question/4987857

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