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?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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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°**.
Transcribed Image Text:**Transcription for Educational Website:** --- **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° --- **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°**.
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