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Click the mouse button or press the Space Bar to display the answers. Transparency 5

Transparency 5a

Lesson 1-5 Learners will be able to identify and use special pairs of angles and perpendicular lines.

are two angles that lie in the same plane, have a common vertex, and a common side, but no common interior points. Adjacent angles:

are two nonadjacent angles formed by two intersecting lines Vertical angles:

is a pair of adjacent angles whose noncommon sides are opposite rays. Linear pair:

are two angles whose measures have a sum of 90. Complementary angles:

are two angles whose measures have a sum of 180. Supplementary angles:

Is read is perpendicular to intersect to form four right angles. Intersect to form congruent adjacent angles. Perpendicular lines: Is read is perpendicular to

Plan Draw two figures to represent the angles. ALGEBRA Find the measures of two supplementary angles if the measure of one angle is 6 less than five times the other angle. Explore The problem relates the measures of two supplementary angles. You know that the sum of the measures of supplementary angles is 180. Plan Draw two figures to represent the angles. Example 5-2a

ALGEBRA Find x so that . Example 5-3a

b. TAU and UAY are complementary. Determine whether each statement can be assumed from the figure below. Explain. a. b. TAU and UAY are complementary. c. UAX and UXA are adjacent. Answer: Yes; lines TY and SX are perpendicular. Answer: No; the sum of the two angles is 180, not 90. Answer: No; they do not share a common side. Example 5-4d

Homework: Lesson 1-5, p. 41 # 8-22, 24-34 even, 41, 43