Vocabulary
An angle that measures less than 90˚, but greater than 0˚.
Acute angle
The measure of supplementary angles always add to this.
180˚
The measure of complementary angles always add to this.
90˚
True or False: An angle measures 20˚, its supplementary angle measures 180.
False
A road sign casts a shadow 14 meters long, while a nearby tree casts a shadow 27.8 meters long. If the road sign is 3.5 meters high, how tall is the tree?
6.95
An angle that measures greater than 90˚, but less than 180˚.
Obtuse angle
One angle measures 80˚, what does the supplementary angle have to measure?
100˚
True or False: The following angles are complementary angles: 35˚ and 75˚.
False
Are 17˚ and 183˚ supplementary angles?
No
A 7-foot tall golf flag casts a shadow 21 feet long. A golfer standing nearby casts a shadow 16.5 feet long. How tall is the golfer?
5.5
An angle that measures exactly 180˚.
Straight angle
True or False: The following angles are supplementary angles: 35˚ and 145˚.
True
<1 and <2 are complementary. <1 is 8x-6 and <2 is 3x+30. What are the measurements of <1 and <2?
<1=42˚
<2=48˚
Are 50˚ and 40˚ angles supplementary?
No, they are complementary.
A 56 inch tall woman casts a shadow that is 16 inches long. How tall is her child if his shadow is 14 inches long?
49
An angle measuring 90˚.
Right angle
Two angles are supplementary. <1 is 2x+3 and <2 is 6x+17. What are the measurements of <1 and <2?
43˚ and 137˚
<3 is a complement to <4. <3 is 2x+9 and <4 is 5x+18. What are the measurements of <3 and <4?
<3 is 27˚ and <4 is 63˚
Are 100˚ and 80˚ angles supplementary to each other?
Yes
A flag pole casts a 5 foot shadow while a nearby sign post casts a 1.25 foot shadow. Find the height of the flagpole if the sign post is 4 feet high.
16
The angle formed where two lines or rays intersect at a common point.
Vertex
True or False: Supplementary angles are always made from the sum of one acute angle and one obtuse angle.
False. You could add two right angles together.
Two angles are complementary. If the ratio of the angles is 7:2, what are the angle measures?
70˚ and 20˚
Can angles be supplementary and complementary at the same time?
No
A woman who is 5 feet 5 inches tall is standing near the Space Needle in Seattle, Washington. She casts a 13-inch shadow at the same time that the Space Needle casts a 121-foot shadow. How tall is the Space Needle?
18429 inches or 1535 feet