Question

In a triangle, one angle measures 58 degrees, another measures 50 degrees, and another measures 72 degrees. What type of triangle is it?

a) Scalene
b) Isosceles
c) Equilateral
d) Right-angled

Answer 1

The triangle with angles of 58 degrees, 50 degrees, and 72 degrees is a Scalene triangle, as all the angles are different and none is a right angle.

Step-by-step explanation:

When considering the types of triangles by angle measures, we use the fact that the sum of all angles in a triangle is approximately 180 degrees. For the triangle in question with angle measures of 58 degrees, 50 degrees, and 72 degrees, adding these angles together equals 180 degrees, confirming that it is a triangle. To determine the type of triangle based on its angles:

• A triangle is Scalene if all the angles are different.
• A triangle is Isosceles if at least two angles are the same.
• A triangle is Equilateral if all the angles are the same, that is, 60 degrees each.
• A triangle is Right-angled if one of the angles is 90 degrees.

Since all three given angles are different and none of them is 90 degrees, the triangle in question is a Scalene triangle.