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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 33 Page 404

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

51^(∘)

Practice makes perfect

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

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^(∘)+ 59^(∘)+ 70^(∘)=180^(∘) Let's solve the equation and find the value of x. For simplicity, we will not write the degree symbol.

x+59+70=180

▼

Solve for x

Add terms

x+129=180

LHS-129=RHS-129

x=51

The measure of the missing angle is 51^(∘).

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