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Lesson 1-5

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:

intersect to form four right angles.

Intersect to form congruent

adjacent angles.Is read is perpendicular to

Perpendicular lines:

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.

b. TAU and UAY are

complementary.

c. UAX and UXA are adjacent.

Answer: Yes; lines TY and SX are perpendicular.

Answer: No; they do not share a common side.

Answer: No; the sum of the two angles is 180, not 90.

Homework:Lesson 1-5, p. 41

# 8-22,24-34 even,

41, 43