asked 40.8k views
5 votes
A triangle has angles D, E, and F. Which of the following could not be a set of

angles?
A. m/D= 90°, m/E-46°, m/F= 46°
B. m/D=100°, m/E-50°, m/F= 30°
C. m/D=910, m/E-47°, m/F=42°
D. m/D= 90°, m/E=45°, m/F=45°

asked
User Sprax
by
8.2k points

1 Answer

6 votes

Final answer:

To determine which set of angles are not possible for a triangle, we need to use the triangle angle sum theorem.


Step-by-step explanation:

To determine which set of angles could not be a set of angles in a triangle, we need to apply the triangle angle sum theorem, which states that the sum of the three angles in a triangle is always 180°.

In option A, the sum of the angles is 90° + 46° + 46° = 182°, which is greater than 180°, so it can't be a set of angles for a triangle.

The correct answer is option A.


Learn more about triangle angles

answered
User Jeffrey Harmon
by
8.0k points
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