Question

Zipora wants to construct a triangle that has the following angle measures: 50°, 75°, and 55°. How many triangles can she make? none exactly one exactly three an infinite number

Answer 1

As sum of all angles of triangle equal to 180 degrees.
First we have to add the angles.
50+75+55
=50+130
=180 degrees

Answer: Zipora can construct exactly one triangle.

Answer 2

Answer: an infinite number

Explanation:

Given : Zipora wants to construct a triangle that has the following angle measures: 50°, 75°, and 55°.

The sum of the angles = 50°+75°+55°=180° = Sum of all angles of a triangle.

So a triangle is possible with this measurement.

But more than one triangle is possible of the given measurement because we have given only the measures of the interior angles but not the sides.

All triangles with the same angle measure would be similar to each other by the AAA-similarity criteria but with different proportional side-lengths.

[∵ Corresponding sides of similar triangles are proportional.]

Hence, She can make an infinite number of triangles.