Advanced Topic 9

Angle Types

100

What kind of angles add up to 90 degrees

Complementary

200

What kind of angles add up to 180 degrees

Supplementary 

300

What kind of angles are next to each other and share an intersect?

Adjacent

400

What angles are Opposite of each other, but equal?

Vertical 

500

If Angle 1 is 115 degrees and Angle 2 is 65 degrees, what kind of Angles are they to one another?

Supplementary

Missing Angle

100

If two angles are vernicle to each other and one angle is 53 degrees, what is the other angle in degrees?

53

200

If two angles are adjacent to each other and and add up to 180 degrees, when one angle is 67 degrees what is the other angle?

113 degrees

300

If two angles are complementary to one another and one angle is 37 degrees, what is the other angle in degrees?

53 degrees

400

When two angles are adjacent to each other and add up to 127 degrees, when one angle is 85 degrees what is the other angle in degrees?

42 degrees

500

When two angles are Supplementary to one another and one angle is 72 degrees, what is the other angles in degrees?

108 degrees

Solve for the Angles

100

Two angles are Vertical to each other. When angle A is (4x + 7) and angle B is (6x - 21), what are they in degrees?

Angle A:

Angle B:

Angle A: 63

Angle B: 63

200

Two angles are Complementary to one another. If Angle A is (2x -3) and Angle B is (3x + 13) what are their degrees?

Angle A:

Angle B:

Angle A: 29

Angle B: 61

300

Two angles are Adjacent to one another. If they add up to 143 degrees and Angle A is (7x + 5) and Angle B is (3x - 22), what is each angle in degrees?

Angle A:

Angle B:

Angle A: 117

Angle B: 26

400

A pair of angles (A and B) are Vertical to each other. If Angle A is (4x + 9) and Angle B is (7x - 3), what are they in degrees?

Angle A:

Angle B:

Angle A: 25

Angle B: 25

500

There is a Complementary relationship between angles A and B, and Angle A is (5x + 19) and Angle B is (7x - 7). What is each angles degree?

Angle A:

Angle B: 

Angle A: 51.5

Angle B: 38.5

Scales

100

If the scale for a drawing is 2 inches : 5 feet, what is the actual size of an object that measures 6 inches on the drawing?

15 feet

200

The scale for a model plane is 2cm : 3ft If the wing is actually 12 feet long, how long is it on the model?

8 cm

300

What is the scale factor for a scale drawing of 4cm : 16ft?

1cm : 4 ft

400

If a drawing has a scale of 3cm is equal to 5ft, what is the actual length of an object that measures 4.5cm on the drawing?

7.5ft

500

If a model car has a scale of 2in : 3ft and the car has a hood length of 6ft, what is the size of the model car's hood?

4in

Triangles

100

How many triangles can be created with the given conditions:

AB = 12cm, BC = 15cm, Angle B = 35 degrees

SAS 1 triangle

200

How many triangles can be created with the given conditions:

AB = 6cm, BC = 9cm, AC = 4cm

SSS 1 Triangle

A+B>C

300

How many triangles can be created with the given conditions:

AB = 10cm, AC = 12cm, Angle C = 50 degrees

SSA Many Triangles

400

How many triangles can be created with the given conditions:

AB = 7cm, BC = 12cm, Angle A = 70 degrees

SSA Many Triangles

500

How many triangles can be created with the given conditions:

AB = 13cm, Angle A = 35 degrees, Angle B = 45 degrees

ASA 1 Triangle