Download Assignment #5

Geometry Pre-AP
HW 1.5
Name _______________________________
Tell whether the angles are only adjacent, adjacent and form a linear pair, or not adjacent.
1.
 1 and  4
2.
 2 and  3
3.
 3 and  4
4.
 3 and  1
Given m  A = 56.4 and m  B = (2x – 4), find the measure of each of the following.
5. supplement of  A
6. complement of  A
7. supplement of  B
8. complement of  B.
9. An angle’s measure is 3 times the measure of its complement. Find the measure of the angle and the
measure of its complement.
10. Name all the pairs of vertical angles.
11.
 ABD and  BDE are supplementary. Find the measures of both angles if m  ABD = 5x˚, and
m  BDE = (17x – 18)˚.
12.
 ABD and  BDC are complementary. Find the measures of both angles if the m  ABD = (5y + 1)˚,
and the m  BDC = (3y – 7)˚.
13. What is the value of x in the following diagram?
Determine whether each statement is true or false. If false, explain why!
________14. If an angle is acute, then it’s complement must be greater than it’s supplement.
________15. A pair of vertical angles may also form a linear pair.
________16. If two angles are supplementary and congruent, the measure of both angles is 90˚.
________17. If a ray divides an angle into two complementary angles, then the original angle is a right
angle.
Find the value of each variable:
18.
19.
20. An angle’s measure is twice the measure of its complement. The larger angle is how many degrees greater
than the smaller angle.
21. Construct the bisector of TGF .
You must show the proper markings.
ONLY A STRAIGHTEDGE AND A
COMPASS MAY BE USED!
G
F
T