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
Related questions
Question
HELP ME PLEASE
![**Problem Statement:**
Find the measure of each angle indicated.
**Description of Diagram:**
The diagram consists of two triangles sharing a common side, creating a straight line.
- The first triangle on the left has two angles labeled: 50° and 40°.
- The second triangle on the right has one angle labeled: 36°.
- The angle adjacent to the 36° angle is labeled with a question mark (?), indicating it's the angle to be found.
**Explanation:**
These triangles share a common side along a straight line, forming supplementary angles. The sum of angles on a straight line is always 180°.
To find the angle indicated by the question mark:
1. Recognize that the angles 40° (from the left triangle) and the angle adjacent to 36° (marked as ?) combine to form a linear pair.
2. The sum of angles in a linear pair equals 180°. Thus, to find the unknown angle:
\[
\text{Angle with question mark} = 180° - (40° + 36°)
\]
3. Calculate:
\[
180° - 76° = 104°
\]
Therefore, the measure of the angle indicated by the question mark is 104°.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e449208-cf4f-4e53-8cac-e5c4c8cafa96%2F40f56a36-d87e-4a8f-8220-3d452decee31%2Fohf8c8w_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Find the measure of each angle indicated.
**Description of Diagram:**
The diagram consists of two triangles sharing a common side, creating a straight line.
- The first triangle on the left has two angles labeled: 50° and 40°.
- The second triangle on the right has one angle labeled: 36°.
- The angle adjacent to the 36° angle is labeled with a question mark (?), indicating it's the angle to be found.
**Explanation:**
These triangles share a common side along a straight line, forming supplementary angles. The sum of angles on a straight line is always 180°.
To find the angle indicated by the question mark:
1. Recognize that the angles 40° (from the left triangle) and the angle adjacent to 36° (marked as ?) combine to form a linear pair.
2. The sum of angles in a linear pair equals 180°. Thus, to find the unknown angle:
\[
\text{Angle with question mark} = 180° - (40° + 36°)
\]
3. Calculate:
\[
180° - 76° = 104°
\]
Therefore, the measure of the angle indicated by the question mark is 104°.
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