BobtheHelper
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HELP ASAP, WILL GIVE BRAINLIEST:

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

Respuesta :

Can 2 sides be 4 feet because given those angles you'd have to make an isosceles triangle (where 2 sides are the same length). If so, id say 2 triangles because the 4 ft side could be one of the congruent sides or the base side. If you cant use it for 2 sides, just 1 triangle can be made
Angle 1 = 50°

Angle 2 = 80°

Angle 3 = x°

The sum of the interior angles of a triangle is 180°

50 + 80 + x = 180

130 + x = 180

x = 180 - 130

x = 50°

Hence, angle 3 = 50°.

Now, we see that two angles of the triangle are equal, hence, the triangle that will form will be an isosceles triangle.

An isosceles triangle has two equal sides whose opposite angles are equal.

So, there could be a chance that two sides of the triangle are 4 ft in length.

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