- The image shows a triangle with two labeled angles and three unknown angles.
- By analyzing the relationships between the angles and using the property of angles in a triangle, we can determine that only one unknown angle is greater than 60 degrees.
The correct answer is option B "One".
The image shows a triangle with two labeled angles and asks how many of the unknown angles are greater than 60 degrees. Here's the analysis:
Labeled angles: The image shows two labeled angles: 24 degrees and 8.5 degrees.
Unknown angles: There are three remaining angles in the triangle that are not labeled.
Angle comparison: We need to compare each unknown angle to 60 degrees to determine if it's greater.
Analyzing the unknown angles:
Angle opposite 24 degrees: This angle is likely acute (less than 90 degrees) because the sum of the angles in a triangle is 180 degrees, and the two labeled angles already total 32.5 degrees (24 + 8.5). Therefore, this angle is not greater than 60 degrees.
Angle adjacent to 8.5 degrees: This angle is also likely acute for the same reason as the angle opposite 24 degrees. So, it's not greater than 60 degrees.
Angle opposite 8.5 degrees: This angle is adjacent to the 24-degree angle. In a triangle, the angle opposite the larger acute angle is usually the larger obtuse angle (greater than 90 degrees). Therefore, this angle is likely greater than 60 degrees.
Answer:
Based on the analysis, only one of the unknown angles is greater than 60 degrees. So the correct answer is B. One.