Glencoe Math: Course 3, Volume 2
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Glencoe Math: Course 3, Volume 2 View details
3. Angles of Triangles
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Exercise 1 Page 392

The sum of the measures of the interior angles of a triangle is 180^(∘).

45^(∘)

Practice makes perfect

We want to find the measure of the angle in the given triangle.

To find this angle measure, we will first recall a key piece of information!

Angle Sum of a Triangle

The sum of the measures of the interior angles of a triangle is 180^(∘).

With this rule, we can write an equation connecting the measures of the angles of our triangle. x^(∘)+ 75^(∘)+ 60^(∘)=180^(∘) Let's solve the equation and find the value of x. For simplicity, we will not write the degree symbol.

x+75+60=180
â–¼
Solve for x
x+135=180
x=45

The measure of the third angle is 45^(∘).