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°

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

User Jeffrey Harmon
by
8.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.