1.4. Angles and Their Measures. Vocabulary Review:. B. ∠ABC. A. C. B. A. C. B. Adjacent Angles. Two angles that share a common vertex and side but have no common interior points. Name the A djacent Angles Congruent Angles: Angles that have the same degree measure.
Angles and Their Measures
Name the Adjacent Angles
Example 3) In the figure above, M CDE = 62o and m EDF = 18o. Find the measure of
∠CDF = 62 + 18
Example 4) The backyard of a house is illuminated by a light fixture that has two bulbs. Each bulb illuminates an angle 120o. If the angle illuminated only the right bulb is 35o, what is the angle illuminated by both bulbs?
Middle angle = 120 – 35
y fixture that has two bulbs. Each bulb illuminates an angle 120
Example 5) Plot the points A(-3 , -1), B (-1, 1), C(2, 4), D(2,1), and E(2,-2). Classify the following angles as acute, right, obtuse, or straight.
a) b) c) d)
Example 6) Draw 5 points A, B, C, D and E so that all four statements are true:
angles AEC and BEC are adjacent
angle AEB is obtuse
D is on the exterior of angle AEB
Angle DEC is a right angle
Example 7) Angle JKL is a straight angle and JKM is 115 statements are true:o. H is in the interior of JKM. HKL is 130o. Find the measure of HKM
= 130 - 115