Download Geometry Worksheet 1

Geometry Worksheet 1.5B
Angle relationships
Name __________________
Per ___ Date ____________
1. Given: PQ  QR , m PQS  4  7a , m SQR  9  4a
Find: m PQS and m SQR
P
S
Q
2. Use the picture at the right to solve each problem.
a. If m CFD  12a  45 , find a so that FC  FD .
b. If m AFB  8x  6 and m BFC  12x  45 , find the value
of x so that AFC is a right angle.
c. If m BFA  3r  12 and m DFE  8r  210 , find m AFE .
3. Find m MSN .
4. Find x and y so that NR  MQ .
5. If m EBF  3x  10, m DBE  x , and BD  BF , find x.
6. If m EBF  7 y  3, m FBC  3 y  3 , and EB  BC , find y.
R
5. Use the diagram at the right to find m PQS and
m SQR .
6. Use the diagram at the right to find m RPT and
m TPW .
7. The measures of two complementary angles are 16z – 9 and 4z + 3. Find the
measures of the two angles.
8. The measure of 1 is five less than four times the measure of
form a linear pair, what are their measures?
9. If m RTS  8x  18 and RT  TS ,
a) find x.
b)What is the relationship between angles QTP
and QTR?
10. If m PTQ  3 y  10 , m QTR  y , and RT  PS , find
y.
2 . If
1 and
2
11. If m FGE  5x 10 and FC  AE , find x.
12. If m BGC  16x  4 , m CGD  2x 13 , and
BG  GD , find x.
13. If an angle measures x, write an expression to represent the measure of its
complement. _______________
14. If an angle is twice as big as its complement, find the measure of both angles.
Setup:
15. If an angle measures x, write an expression to represent the measure of its
supplement. _______________
16. If an angle is twenty more than four times its supplement, find the measure of both
angles.
Setup:
17. If an angle is 44 less than the measure of its supplement, find the measure of the
two angles.
Setup: