Question

A triangle has angles A, B, and C. Which of the following could not be a set of

angles?
A. m/A=99°, m/B=51°, m/C= 30°
B. m/A= 46°, m/B-90°, m/C= 46°
C. m/A= 47°, m/B-91°, m/C= 42°
D. m/A=45°, m/B-90°, m/C= 45°

Answer 1

In a triangle, the sum of the measures of the three angles is always 180 degrees. The set of angles that could not be a set of angles for a triangle is m/A=46°, m/B=90°, m/C=46°.

Step-by-step explanation:

A triangle has three angles. In any triangle, the sum of the measures of the three angles is always 180 degrees. Let's check each set of angles:

A. m/A=99°, m/B=51°, m/C=30°

Sum of angles: 99° + 51° + 30° = 180° (valid)

B. m/A=46°, m/B=90°, m/C=46°

Sum of angles: 46° + 90° + 46° = 182° (invalid)

C. m/A=47°, m/B=91°, m/C=42°

Sum of angles: 47° + 91° + 42° = 180° (valid)

D. m/A=45°, m/B=90°, m/C=45°

Sum of angles: 45° + 90° + 45° = 180° (valid)

So, the set of angles that could not be a set of angles for a triangle is B. m/A=46°, m/B=90°, m/C=46°.

Learn more about Triangle angles