Amy is cutting a triangle shaped baseball pennant banner out of felt. She starts by cutting a base 6 inches long an two angles that each measures 75°. What will the third angle measure?
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![**Transcription for Educational Website:**
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**Triangle Pennant Angle Problem**
A triangular-shaped baseball pennant banner made of felt is shown in the image above with a "RANGERS" logo on it.
**Problem Description:**
Amy is cutting a triangle-shaped baseball pennant banner out of felt. She starts by cutting a base 6 inches long and two angles that each measures 75°. What will the third angle measure?
**Options:**
A) 20°
B) 25°
C) 30°
D) 50°
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**Explanation of Image:**
The image shows a pennant banner with the "RANGERS" logo, resembling a triangle. The problem posed involves calculating the third angle of a triangle given the other two angles are each 75°.
**Solution Approach:**
To find the third angle of a triangle, use the fact that the sum of all angles in a triangle is 180°. Given two angles measuring 75° each:
\[ 75° + 75° + \text{Third Angle} = 180° \]
\[ \text{Third Angle} = 180° - 150° \]
\[ \text{Third Angle} = 30° \]
Thus, the correct answer is: **C) 30°**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd677b62c-51db-4db3-bd0a-9a527953c2a1%2F199723d0-f0a4-432d-87b3-81990b319fd5%2Fzg7705_processed.jpeg&w=3840&q=75)
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