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Angle Relationships
Angle Relationships Part 2
Triangle Angle Sum
Exterior Angle Theorem
Triangle Congruence
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

A triangle has all 3 sides equal to another triangles sides - Which theorem proves they are congruent.

SSS

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

A triangle has all 2 sides equal to another triangles sides and the angle between them is equal - Which theorem proves they are congruent.

SAS

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

A triangle has 1 side equal to another triangles side and the 2 angles surrounding that side are equal - Which theorem proves they are congruent.

ASA

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

A triangle has  2 angles equal to another triangle's 2 angles, and 1  side equal that is NOT in between the angles - Which theorem proves they are congruent.

AAS

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

A RIGHT triangle has its Hypotenuse and Leg equal to another right triangle's Hypotenuse and Leg - Which theorem proves they are congruent.

HL

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