Download Complementary Angles

GEOMETRY
Complementary Angles
NAME_________________________
DATE __________ Per.___________
Proofs
1.
a) Fill in the table for each angle measure.
b) Complementary angles add up to?
ANGLE
30°
20°
COMPLEMENT
90 – 30 =
35°
c) Supplementary angles sum to?
Two complete angles add up to 360°.
2.
4.
An angle is half its complement.
Let x be the measure of the complement.
Find both angles.
An angle is 10 more than its complement.
Find both angles measures.
6. Find the angle that is:
a) twice its complement
x
90 – ___
The complement of an angle is four times its
angle measure. Find both angles.
5.
The complement of an angle is 15 less than
its angle. Find both angles.
7. Write a word problem for each equation.
a) x + 6x = 90
c) four times its complement
b)
90 − x = 7x
e) eight times its complement
f) nine times its complement
140°
_____________
3.
b) three times its complement
d) five times its complement
SUPPLEMENT
180 – 30 =
c) x = 10(90 − x )