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on ·2x=36 * = 15 еднем 40° 50° ! équel MA 51 409 yᵒ 5 enqued

on ·2x=36 * = 15 еднем 40° 50° ! équel MA 51 409 yᵒ 5 enqued

Elementary Geometry For College Students, 7e
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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What is x and y
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.
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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