The measure of one of the angles of a
To find: The measures of the unknown angles of a triangle.
Answer to Problem 32P
The measures of unknown angles are 80 and 65.
Explanation of Solution
Given information: The measure of one angle of a triangle is 35. The sum of measures of other two angles is 145. The difference between their measures is 15.
Formula used: Solve the system of equations using elimination method.
Calculation:
Letunknown angles are x and y .
The sum of interior angles of a triangle is
The difference between the angle measures is 15.
Equation for this is
Solve the two equations using elimination method.
Add the equations to eliminate the y terms.
Divide both sides by 2.
Substitute x as 80 into any of the equations to find y .
Subtract both sides 80
Conclusion: Hence the unknown angles are 80 and 65.
Chapter 6 Solutions
High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9
Additional Math Textbook Solutions
College Algebra (10th Edition)
College Algebra
Elementary Algebra
College Algebra with Modeling & Visualization (5th Edition)
College Algebra with Modeling & Visualization (6th Edition)
College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education