Exercise 13 Page 132

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. Recall that the measure of a right angle is 90^(∘). x^(∘)+ (x+8)^(∘)+ 90^(∘)=180^(∘) Let's solve the equation and find the value of x. For simplicity, we will not write the degree symbol.

The measure of the angle is 41^(∘). To find the other missing measure, we will substitute x= 41 in the expression for the remaining angle, (x+8)^(∘). Once again, we will remove the degree symbol for the calculation.

The measure of the third angle is 49^(∘). This means that the measures of the interior angles of the triangle are 41^(∘), 49^(∘), and 90^(∘).