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
What is x and y

Transcribed Image Text:The image contains a problem involving triangle geometry, written calculations, and a diagram:
1. **Triangle Diagram**:
- There are two right triangles drawn side by side.
- The first triangle has one angle labeled as \(50^\circ\) and another as \(40^\circ\), with the third angle marked with a square indicating it's a right angle (\(90^\circ\)).
- The second triangle also has one angle labeled as \(40^\circ\) and another marked as \(\textcolor{green}{x}\), with a calculated result showing \(x = 50^\circ\), therefore also making the third angle \(90^\circ\).
2. **Equation and Calculation**:
- Above the triangles is the expression \((2x + 10)^\circ\).
- Arithmetic calculations are shown:
- \(2x + 10 = 40\)
- \(2x = 30\)
- \(x = 15\)
3. **Conclusions**:
- The equations result in values:
- \(x = 50\)
- \(\textcolor{green}{y = 90}\)
This exercise involves solving for unknown angles in triangles using angle sum properties and basic algebra.
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