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Glencoe Math: Course 3, Volume 2

GM

Glencoe Math: Course 3, Volume 2 View details

Chapter Review

Exercise 2 Page 443

The sum of the measures of the interior angles of a triangle is $18 0^{\circ} .$

$53$

Practice makes perfect

We want to find the value of $x$ in the given triangle.

triangle

To find the value of $x,$ 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 $18 0^{\circ} .$

With this rule, we can write an equation connecting the measures of the angles of our triangle.

x^{\circ} + 6 2^{\circ} + 6 5^{\circ} = 18 0^{\circ}

Let's solve the equation and find the value of

x .

For simplicity, we will not write the degree symbol.

x + 62 + 65 = 180

▼

Solve for

x

Add terms

x + 127 = 180

$LHS - 127 = RHS - 127$

x = 53

Subchapter links

Key Concept Check p.442

Problem Solving p.443

Answering the Essential Question p.444