Big Ideas Math: Modeling Real Life, Grade 8
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2. Angles of Triangles
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Exercise 1 Page 112

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

25^(∘), 74^(∘), and 81^(∘)

Practice makes perfect

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

triangle
To find these angle measures, 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^(∘)+ 81^(∘)+ 25^(∘)=180^(∘) Let's solve the equation and find the value of x. For simplicity, we will not write the degree symbol.
x+81+25=180
x+106=180
x=74
The measure of the angle is 74^(∘).
triangle