A triangle has angle measurements of 30 degrees. 101 degrees and. 49 degrees. What kind of triangle is it?

Answer 1

To determine the type of triangle based on its angles, we can look at two properties:

1. The sum of the angles in any triangle must be 180 degrees.
2. The classification of triangles based on their angles:
   • Acute triangle: All angles are less than 90 degrees.
   • Right triangle: One angle is exactly 90 degrees.
   • Obtuse triangle: One angle is greater than 90 degrees.

Given the angles of the triangle are 30 degrees, 101 degrees, and 49 degrees, we can first check if they sum to 180 degrees:

\[ 30 + 101 + 49 = 180 \text{ degrees} \]

Since the sum is 180 degrees, it confirms that these angles can form a triangle.

Next, we classify the triangle based on the angles:

• The angle of 101 degrees is greater than 90 degrees, which means this triangle has one obtuse angle.

Therefore, the triangle is an obtuse triangle.