Exercise 14 Page 115

We want to find the measures of the angles in the given triangle.

To find these angle measures, we will first recall a key piece of information!

With this rule, we can write an equation connecting the measures of the angles of our triangle. x^(∘)+ (x-11)^(∘)+ 73^(∘)=180^(∘) Let's solve the equation and find the value of x. For simplicity, we will not write the degree symbol.

The measure of one of the angles is 59^(∘). To find the other missing measure, we will substitute x= 59 in the expression for the remaining angle, (x-11)^(∘). Once again, we will remove the degree symbol for the calculation.

The measure of the third angle is 48^(∘).