Download Supplements angle = complement = supplement = x + 2x = 180 x = 2

GEOMETRY
Supplements
NAME_________________________
DATE __________ Per.___________
Proofs
6.
7.
Fill in the table for each angle and its supplement.
Angle Supplement
Two angles are supplementary angles
80°
180°–80° =
if and only if the sum of their measures is 180°.
95°
180° –
45°
x°
180°–x°
73°
120°
TRUE or FALSE?
45°
An angle is acute if and only if its supplement is obtuse.
x°
An angle is twice its supplement.
a) Solve the problem using this equation:
x + 2x = 180
b) Solve the same problem again with this equation.
x = 2(180 – x)
c) What is the value of x in each solution? Are they the same?
d) Read the original problem again. Should the angle or its supplement be the greater number?
Which solution is the supplement?
algebraic equations to solve each word
8. Write
problem. Find the angle and its supplement if...
algebraic techniques to solve each word
9. Use
problem. Find the angle and its supplement if ...
a) The supplement is 20 more than the angle.
a) An angle is three times its supplement.
b) The angle is 45° less than its supplement.
b) Five times an angle equals its supplement.
c) 10° more than the angle is 35 less than its
supplement.
c) Twice the supplement is three times the angle.
an equation to find the
10. Write
angle whose supplement is
four times its complement.
angle =
complement =
supplement =