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Solving Systems of Linear Equations using Substitution

Solving Systems of Linear Equations using Substitution 1.12 - Solution

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a

The sum of a triangle's interior angles is From the figure, we can see that one of the angles is a right angle. The remaining two are and By adding these together, we can equate their sum with

b
Using the equation found in part A and the given equation, we can form a system of equations. Let's solve it using the Substitution Method. To do so, we will start by isolating the variable in Equation (I). Let's now substitute for in Equation (II) and solve the resulting equation for
Solve for
To find the value of we will substitute for in Equation (I).
The solution to the system of equations is In the context of the problem, this means that the measures of the acute angles are and