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Glencoe Math: Course 3, Volume 2

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Glencoe Math: Course 3, Volume 2 View details

4. Polygons and Angles

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Exercise 34 Page 404

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

26^(∘)

Practice makes perfect

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

triangle

To find the 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. 21^(∘)+ x^(∘)+ 133^(∘)=180^(∘) Let's solve the equation and find the value of x. For simplicity, we will not write the degree symbol.

21+x+133=180

▼

Solve for x

Add terms

x+154=180

LHS-154=RHS-154

x=26

The measure of the missing angle is 26^(∘).

triangle

Subchapter links

Guided Practice p.400

Independent Practice p.401-402

H.O.T. Problems p.402

Standardized Test Practice p.402-404

Extra Practice p.403

Common Core Review p.404