Triangle Angle Theorems Answers

14 verified answers
3

506070120

A
50
B
60
C
70
D
120
5

40556580

A
40
B
55
C
65
D
80
6

What is the measure of ∠ABD?

A
27°
B
54°
C
114°
D
124°
8

Which statement justifies that angle XAB is congruent to angle ABC?

A
Corresponding angles of parallel lines cut by a transversal are congruent.
B
Vertical angles are congruent.
C
Same-side interior angles of parallel lines cut by a transversal are supplementary.
D
Alternate interior angles of parallel lines cut by a transversal are congruent.
9

Which statements are always true regarding the diagram? Check all that apply.

A
m∠3 + m∠4 = 180°
B
m∠2 + m∠4 + m∠6 = 180°
C
m∠2 + m∠4 = m∠5
D
m∠1 + m∠2 = 90°
E
m∠4 + m∠6 = m∠2
F
m∠2 + m∠6 = m∠5
10

506070120

A
50
B
60
C
70
D
120
11

angle addition postulatedefinition of complementary anglesdefinition of vertical angles

A
angle addition postulate
B
definition of complementary angles
C
definition of vertical angles
12

506070120

A
50
B
60
C
70
D
120
13

they are supplementary anglesthey are complementary anglesof the triangle angle sum theorem

A
they are supplementary angles
B
they are complementary angles
C
of the triangle angle sum theorem
14

substitution propertyreflexive propertysubtraction property

A
substitution property
B
reflexive property
C
subtraction property

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