The eight angles are formed by parallel-lines and transversal , they are

1) Corresponding angles : There are 4 pairs of corresponding angles.

These angles are formed on letter

If the lines are parallel then the measures of corresponding angles are equal.

Corresponding Angles∠a = ∠e ∠d = ∠h ∠b = ∠f ∠c = ∠g |

2)Alternate interior angles : There are 2 pairs of alternate interior angles.

These angles are formed on letter

If the lines are parallel then the measures of alternate interior angles are equal.

Alternate Interior Angles∠d = ∠f ∠c = ∠e |

3)Interior angles on the same side of transversal : There are two pairs of interior angles.

These angles are formed on letter

If the lines are parallel then the interior angles on the same side of transversal are supplementary.( sum up to 180)

Interior Angles∠a + ∠b = 180 ^{0}∠c + ∠d = 180 ^{0} |

4) Alternate exterior angles : There are two pairs of alternate exterior angles.

Alternate Exterior Angles∠a = ∠g ∠b = ∠h |

If the lines are parallel then the measures of alternate exterior angles are equal.

_________________________________________________________________

Use the following figure and answer the given questions:

1) State all the corresponding angles.

2) Give the names of alternate interior angles.

3) If m∠b = 40

• Point

• Lines

• Angles

• Lines and Angles

• Complementary angles

• Supplementary angles

• Vertically Opposite Angles

• Linear Pair Angles

• Adjacent Angles

• Parallel Lines

• Solved Problems on Intersecting Lines

• Solved Problems on Parallel Lines