Download Adjacent angles - Mr. Cook`s Class

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Lesson 1-5
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 congruent
adjacent angles.
Is read is perpendicular to
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
.
Determine whether each statement can be assumed
from the figure below. Explain.
a.
Answer: Yes; lines TY and SX
are perpendicular.
b. TAU and UAY are
complementary.
Answer: No; the sum of the
two angles is 180, not 90.
c. UAX and UXA are adjacent.
Answer: No; they do not share
a common side.
Homework:
Lesson 1-5, p. 41
# 8-22,
24-34 even,
41, 43