Identify the combination of angle measures that could form a triangle
Pick one of the choices
1. 25°, 65°, and 90°
2. 45°, 65°, and 75°
3. 40°, 55°, and 95°
4. 30°, 75°, and 85°
Identify the combination of angle measures that could form a triangle.
I NEED ANSERS FOR THE WHOLE TEST. im bad at math so plz give me the RIGHT ANWERS! ( cuz some of you guys be lying and thats not cool at all; people are failing cuz of you idiots!!)
I need help with the whole test!!!!!
The combination of angle measures that could form a triangle is the one where the sum of any two angles is greater than the third angle.
Using this rule, the only combination of angle measures that could form a triangle is:
2. 45°, 65°, and 75°
Because:
45° + 65° = 110° > 75°
45° + 75° = 120° > 65°
65° + 75° = 140° > 45°
wrong!!!
To identify the combination of angle measures that could form a triangle, we need to remember the triangle inequality theorem. According to the theorem, the sum of the measures of any two angles of a triangle must be greater than the measure of the third angle.
Now, let's check each option to see if it satisfies this condition:
1. In the first option, we have angles measuring 25°, 65°, and 90°. Adding the measures of the first two angles gives us 25° + 65° = 90°, which is equal to the third angle. Therefore, this combination does not form a triangle.
2. In the second option, we have angles measuring 45°, 65°, and 75°. Adding the measures of the first two angles gives us 45° + 65° = 110°, which is greater than the measure of the third angle (75°). This combination does satisfy the triangle inequality theorem and could form a triangle.
3. In the third option, we have angles measuring 40°, 55°, and 95°. Adding the measures of the first two angles gives us 40° + 55° = 95°, which is equal to the third angle. Therefore, this combination does not form a triangle.
4. In the fourth option, we have angles measuring 30°, 75°, and 85°. Adding the measures of the first two angles gives us 30° + 75° = 105°, which is greater than the measure of the third angle (85°). This combination does satisfy the triangle inequality theorem and could form a triangle.
Based on the analysis above, the combination of angle measures that could form a triangle is option 2: 45°, 65°, and 75°.