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Angles Relationships

Angles Relationships. Unit 7 Math 7. Angle Relationships. Important Vocabulary – Adjacent Angles: two angles that share a vertex and a side but no points in their interiors. Vertical Angles:

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Angles Relationships

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  1. Angles Relationships Unit 7 Math 7

  2. Angle Relationships Important Vocabulary – • Adjacent Angles: • two angles that share a vertex and a side but no points in their interiors. • Vertical Angles: • angles formed by two intersecting lines, and are opposite each other. Vertical angles are congruent. • Congruent Angles: • angles that have the same measure

  3. Angle Relationships Important Vocabulary – • Supplementary Angles: • two angles whose measures add to 180° • Complementary Angles: • two angles whose measures add to 90°

  4. Angle Relationships Example 1: • Find the measure of angle 1 if the measure of angle 4 = 135o • Angles 1 and 4 are _______________ angles. • If they are supplementary angles, they must add up to 180 degrees. Angle 1 measures 45 degrees. supplementary

  5. Angle Relationships Example 2: • Find the measure of angles 2, 3, and 4 if 1 = 43o • Angles 1 and 2 are _______________ angles. • If they are supplementary angles, they must add up to 180 degrees. Angle 2 measures 137 degrees. supplementary

  6. Angle Relationships Example 2 continued: • Find the measure of angles 2, 3, and 4 if the measure of angle 1 = 43o • Angles 1 and 3 are _________ angles. • If they are vertical angles, they must be congruent. Angle 3 measures 43 degrees. vertical

  7. Angle Relationships Example 2 continued: • Find the measure of angles 2, 3, and 4 if measure of angle 1 = 43o • Angles 1 and 4 are _______________ angles. • If they are supplementary angles, they must add up to 180 degrees. Angle 4 measures 137 degrees. Is there another way to find the measure of angle 4 without having to set up an equation? supplementary

  8. Angle Relationships Example 3 – • Find the measure of each angle • Angle HPM – • 108 degrees • Angle JPI – • 38 degrees

  9. Angle Relationships Example 3 – • Find the measure of each angle • Angle IPH – • 34 degrees • Angle KPL – • 34 degrees

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