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Transparency 5. Click the mouse button or press the Space Bar to display the answers. Transparency 5a. Lesson 1-5. Learners will be able to identify and use. special pairs of angles and perpendicular lines. Adjacent angles :.
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Transparency 5 Click the mouse button or press the Space Bar to display the answers.
Lesson 1-5 Learners will be able to identify and use special pairs of angles and perpendicular lines.
Adjacent angles: are two angles that lie in the same plane, have a common vertex, and a common side, but no common interior points.
Vertical angles: are two nonadjacent angles formed by two intersecting lines
Linear pair: is a pair of adjacent angles whose noncommon sides are opposite rays.
Complementary angles: are two angles whose measures have a sum of 90.
Supplementary angles: are two angles whose measures have a sum of 180.
Perpendicular lines: intersect to form four right angles.Intersect to form congruentadjacent angles. Is readis perpendicular to
Example 5-2a 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.
ALGEBRA Find x so that . Example 5-3a
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. Example 5-4d 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.