Pairs of Angles Exam of Geometry | Felician University

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

2020
Views:

315

Pages:

2
Author:

larbiwxcvbn

Name: Key Period: Pairs of Angles Adjacent Angles: Two angles in the same plane with a common vertex and a common side, but no common interior points. 1 < ABC and < DBC are adjacent angles. Linear Pair: A pair of adjacent angles whose noncommon sides are opposite rays. < ABC and < CBD are a linear pair. Angles sum to 180°. m∠ABC + m∠CBD = 180° Example 1: Tell whether the angles are only adjacent, adjacent and form a linear pair, or not adjacent. a. ∠AEB and ∠BED: adjacent, linear pair b. ∠AFB and ∠BEC: adjacent c. ∠DEC and ∠AEB: neither Complementary Angles: Two angles whose measures have a sum of 90 degrees. ∠DEF are complementary angles. How can the complement of an angle be found? Subtract from 90°: (90-x)° Example 2: Use the figure at the right. a. Find the complement of ∠F. No complement, already measures more than 90° b. Find the complement of ∠E. 90-(7x-12) = (-7x+102)° Supplementary Angles: Two angles whose measures have a sum of 180 degrees. How can the supplement of an angle be found? Subtract from 180°: (180-x)° Example 3: Using the same figure. a. Find the supplement of ∠F. 180-116.5 = 63.5° b. Find the supplement of ∠E. 180-(7x-12) = (-7x+192)°