1.5 Notes Angle Relationships

VOCABULARY

Adjacent Angles – are two angles that line in the same plane and have a common vertex and a common side

Linear Pair – are adjacent with the same vertex and their noncommon sides are opposite rays

Vertical Angles – are two nonadjacent angles formed by two intersecting lines

Complementary Angles – two angles that form a 90 degree angle

Supplementary Angles – two angles that form a 180 degree angle

Perpendicular – lines that intersect to form four right angles

ANGLE RELATIONSHIP PROBLEMS

Example 1 o Name an angle pair that satisfies the

condition two angles that form a linear pair.

o Name an angle pair that satisfies the condition two acute vertical angles.

Example 2 o Name two adjacent angles whose

sum is less than 90.

o Name two acute vertical angles.

Example 3 Find the value for x that makes lines AD and CE perpendicular.

HW PG 50 #1-4, 6, and 9-23 ODD (check your answers in the book, SHOW WORK for full credit)

Example 4

Find x and y so that KO and HM are perpendicular.

Example 5 Determine whether the following are true or false. - mXAY = 90 can be assumed from the figure. - TAU is complementary to UAY can be

assumed from the figure.

- ZAY and TAU are vertical angles can be assumed from the figure.

VOCABULARY ANSWERS!