Triangle Angle Theorems

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Which statement regarding the interior and exterior angles of a triangle is true?

a. An exterior angle is supplementary to the adjacent interior angle.

(triangle (9x)° T:(5x)°
S: (9 + x)°

The value of x is _____

3

Which is a true statement about the diagram?

c. m<1 + m<2 = 180°

x° S: 35° R: 58°

What is the value of x?

d. x = 93

Which represents an exterior angle of triangle ABF?

d. <CAB

(x + 15)° x° (4x – 20)°

What is the value of x?

d. x = 40

Given: Lines y and z are parallel, and ABC forms a triangle l.
Prove: m&lt;5 + m&lt;2 + m&lt;6 = 180°
Which could be the missing reason in Step 3?

a. alternate interior angles are congruent

130°, x°, 134°

The value of x is

96

J K M L
Which statement regarding the diagram is true?

b. m<KML + m<MLK = m<JKM

X, Y, Z
If the m&lt;X = 34° and the m&lt;Z = 26°, what is the m&lt;Y?

d. m<Y = 120°

Which angle has a measure equal to the sum of m&lt;SQR and the m&lt;QRS?

a. <RSC

x° P: 38° O: 39°

Which statement about the value of x is true?

a. x > 38

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

m<5 + m<3 = m<1 m<5 + m<6 = 180° m<2 + m<3 = m<6 m<2 + m<3 + m<5 = 180°

D A B E C F
Which angle’s measures is equal to the sum of the measures of &lt;BAC and &lt;BCA?

b. <CBE

W X Y Z
Which statement regarding the diagram is true?

c. m<WXY + m<YXZ = 180°

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