Explanation Given information: The given scenario is Difference between two acute angles in a right triangle is 10 ° . Concept used: Elimination method of solving a system of equations says: If any one of the variables of the linear equations in two variables has same coefficient and opposite sign then add the equations to eliminate the variable. If any one of the variables of the linear equations in two variables has same coefficient and same sign then subtract the equations to eliminate the variable. If any one of the variables of the linear equations in two variables has different coefficient and opposite sign then find out the Least common multiple of the coefficients, divide the least common multiple by the coefficients of the eliminating variable, then multiply each equations with the respective factor , then add the equations to eliminate the variable. If any one of the variables of the linear equations in two variables has different coefficient and same sign then find out the Least common multiple of the coefficients, divide the least common multiple by the coefficients of the eliminating variable, then multiply each equations with the respective factor, then subtract the equations to eliminate the variable. Sum of three angles in a triangle is 180 ° . A right triangle must have an angle of measure 90 ° . Calculation: Consider one acute angle is x and other is y . x + y + 90 ° = 180 ° x + y = 180 ° − 90 ° x + y = 90 ° Difference between two acute angles in a right triangle is 10 °

6th Edition

ISBN: 9781260673531

Author: Miller, Julie, O'Neill, Molly, Hyde, Nancy

Publisher: McGraw-Hill Education

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Question

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

Chapter 4.4, Problem 3PE

To determine

To find: a system of linear equation in two variables for the given scenario and solve the system.

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Chapter 4.4, Problem 2PE

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