University:
Felician University
Course:
MATH-231 | Geometry I
Academic year:

2023
Views:

250

Pages:

4
Author:

Leilani Contreras

Chapter 1 - Tools of Geometry Lesson 7: Angle Relationships ADJACENT ANGLES: two angles that lie in the same plane and have a common ___________ and common _____________, but NO other points in common. Example: Non-example LINEAR PAIR: is a pair of ___________ angles with noncommon sides that are ___________ rays (lie on the ___________ line) Example: Non- example VERTICAL ANGLES: are two nonadjacent angles formed by two _________________ lines. They share a common ______________ and sides are ____________ ____________ **********Vertical angles are ________________ Example: Non-example Example 1: Vertical Angle Algebra Application Using the diagram to the right, find x, m∠AEC, and m∠BED A B (2x +13)° (3x – 9)° E C x = ____________ m∠AEC =__________ m∠BED =__________ COMPLEMENTARY ANGLES: are TWO angles with measures that SUM to ______ degrees. Adjacent Example: How to find the complement of an angle Example 2: Find the complement of a 20° angle. Non-adjacent Example D Example 3: Complementary Angles Algebra Application The measure of two complementary angles are 7x +17 and 3x – 20. Find the measures of each angle. SUPPLEMENTARY ANGLES: are TWO angles with measures that SUM to ______ degrees. Adjacent Example: How to find the supplement of an angle Example 4: Find the complement of a 20° angle. Non-adjacent Example Example 5: Supplementary Angles Algebra Application If the ratio of an angle to its supplement is 7 : 5 , find the measure of each angle. PERPENDICULAR LINES: lines, segments, or rays that form _________ angles. Lines / segments / rays are can be perpendicular Angles are NOT perpendicular Symbol: Example: PERPENDICULAR BISECTOR: a line or part of a line that is perpendicular to a segment and passes through the segment’s _________________. Forms _________ angles AND _______________ segments