Draw
Angle Relationships
Angle Relationships Part 2
Triangle Angle Sum
Exterior Angle Theorem
Miscellaneous
100

Vertical angles

Each of the pairs of opposite angles made by two intersecting lines.


100

Two angles are congruent. The measure of the first angles is 42 degrees, what is the measure of the second angle

42

100

Two angles that sum to 180 degrees.

Supplementary

100

What is the sum of the interior angles of a triangle?

180 degrees

100

What is Exterior Angle Theorem? 


100

What is the sum of the interior angles of a hexagon?

720 degrees

200

Complementary Angles

Two angles whose measures add up to 90

200

What is the relationship between angles 3 and 6 ? 


Alternate Interior Angles.

200

One way to prove that lines are parallel lines is through understanding that corresponding angles are

Congruent

200

What is the value of angle T?

T = 71

200

What is the m∠ x


m∠x= 149

200

What is the measure of an interior angle of a regular pentagon?

108 degrees

300

Adjacent Angles

Angles that share a vertex and a ray, but no interior points

300

If the measure of angle 4 is 112, what is the measure of angle 6?

68


300

If an angle measures 135 degrees, what is the measure of its supplement?

45 degrees

300

Find the value of ∠ x if <C = 72


∠ x = 70

300

Find y:


y=10

300

Triangle ABC has 2 angles measures:  41 degrees and 74 degrees

Triangle DEF has 2 angle measures:  41 degrees and 65 degrees

Are the triangles similar?

Yes

400

Alternate Exterior Angles. 

If two parallel lines are intersected by a transversal, these angles are located on the outside of the two parallel lines on opposite sides of the transversal.

400

What is the relationship between angles 5 and 8?

 

Vertical Angles.

400

If the measure of angle 2 is 30 degrees, what is the measure of angle 6?

30.

400

What is the value of ∠ a?


∠ a = 87

400

Find m<ABC



68 degrees

400

Triangle ABC has 2 angles measures:  32 degrees and 68 degrees

Triangle DEF has 2 angle measures:  32 degrees and 81 degrees

Are the triangles similar?

No

500

Alternate interior angles

If two parallel lines are cut by a transversal, these angles are on the inside of the two parallel lines but on opposite sides of the transversal.

500

If the measure of angle 2 is 37 degrees, what is the measure of angle 7? What is the angle relationship? 


What is 37 and Alternate Exterior.

500

Given that a || m, measure of angle 5=98°, then the measures of angles 3 and 4 are:

Angle 3 =82 degrees and angle 4= 98 degrees

500

Find the missing angle measure:


75

500

Find m<C :


85

500

The interior angles of a regular polygon each measure 144°. How many sides does the polygon have?

10 sides