4. Find the me asure of angle 2. 26.8° 48.3°

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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**Problem 4: Find the measure of angle 2.**

The diagram is a triangle with one of its interior angles labeled as angle "2." The triangle has two known angle measures: 48.3° and 26.8°. Additionally, a line segment extends horizontally from the base of the triangle, forming an unknown angle (angle 2) with its inclined side. 

Since the sum of the angles in a triangle is always 180°, you can find the measure of angle 2 by subtracting the sum of the known angles from 180°.

1. **Known Angles:**
   - One angle is 48.3°,
   - Another angle is 26.8°.

2. **Calculation:**
   - Sum of known angles = 48.3° + 26.8° = 75.1°
   - Measure of angle 2 = 180° - 75.1° = 104.9°

Therefore, the measure of angle 2 is **104.9°**.
Transcribed Image Text:**Problem 4: Find the measure of angle 2.** The diagram is a triangle with one of its interior angles labeled as angle "2." The triangle has two known angle measures: 48.3° and 26.8°. Additionally, a line segment extends horizontally from the base of the triangle, forming an unknown angle (angle 2) with its inclined side. Since the sum of the angles in a triangle is always 180°, you can find the measure of angle 2 by subtracting the sum of the known angles from 180°. 1. **Known Angles:** - One angle is 48.3°, - Another angle is 26.8°. 2. **Calculation:** - Sum of known angles = 48.3° + 26.8° = 75.1° - Measure of angle 2 = 180° - 75.1° = 104.9° Therefore, the measure of angle 2 is **104.9°**.
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