3-4 Parallel Lines and the Triangle Angle-Sum Theorem Objectives: 1) to classify triangles and find the measures of their angles 2) To use exterior angles.

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Presentation transcript:

3-4 Parallel Lines and the Triangle Angle-Sum Theorem Objectives: 1) to classify triangles and find the measures of their angles 2) To use exterior angles of triangles

Example 1: Find the values of x, y, and z.

You try. Find the values of x, y, and z x= x=180 x=35 x+y= y=180 y=145 z =180 z+155=180 z=25

You can classify a triangle by its angles and sides.

Example 2: Classify the triangle by its sides and its angles. a) b) Try this

Try these. Draw and mark a triangle to fit each description. If no triangle can be drawn, write not possible and explain why. a)acute scalene b)Isosceles right c)Obtuse equiangular

Exterior angle of a polygon: angle formed by a side and an extension of an adjacent side Remote interior angles: the two nonadjacent interior angles

Example 3: Find each missing angle.

Try this one too.

Example 4: Find the value of x.

Try this. Find the value of x.