Chapter 5 Lesson 3 Angles of Triangles

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Presentation transcript:

Chapter 5 Lesson 3 Angles of Triangles

Solve each equation for x. 1.) 2.) Bellwork Solve each equation for x. 1.) 2.)

What are Interior & Exterior Angles? Interior Angles are angles inside a polygon. Exterior Angles are the angles outside of the polygon that are adjacent to the interior angles.

Interior Angle Measures of a Triangle The sum of the interior angle measures of a triangle is 1800 Algebra x+y+z=180

Using Interior Angle Measures Find the value of x.

c.

Practice 81+25+x=180 106+x=180 x=740 Find the value of x.

Practice

Try this with a partner!

On your own this time!

Exterior Angle Measures The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles. Algebra z=x+y

Finding Exterior Angle Measures Find the measure of the exterior angle.

1..

2.

Find the measure of the exterior angle. 4n-20=n+2n+20 4n-20=3n+20 n-20=20 n=40 Exterior angle= 4(40)-20=160-20=1400 y=40+30 y=700

Use Your Algebra Skills

Real Life Application An airplane leaves from Miami and travels around the Bermuda Triangle. What is the value of x? Use what you know about the interior angle measures of a triangle to write an equation.

Guided Practice pg. 392 (1-5)

Independent Practice

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