Identify the combination of angle measures that could form a triangle.

Question

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40 degrees, 70 degrees, 80 degrees
45 degrees, 45 degrees, 100 degrees
15 degrees, 45 degrees, 120 degrees
30 degrees, 90 degrees, 55 degrees

Answer 1

To determine whether a combination of angle measures can form a triangle, the sum of the angles must equal 180 degrees. Let's analyze each combination:

1. 40 degrees, 70 degrees, 80 degrees:

   • Sum: 40 + 70 + 80 = 190 degrees (not a triangle)

2. 45 degrees, 45 degrees, 100 degrees:

   • Sum: 45 + 45 + 100 = 190 degrees (not a triangle)

3. 15 degrees, 45 degrees, 120 degrees:

   • Sum: 15 + 45 + 120 = 180 degrees (this can form a triangle)

4. 30 degrees, 90 degrees, 55 degrees:

   • Sum: 30 + 90 + 55 = 175 degrees (not a triangle)

The only combination that can form a triangle is 15 degrees, 45 degrees, 120 degrees.