Triangle Angle Theorem Review

Which statement regarding the diagram is true?

• $m∠WXY=m∠YXZ$

• $m∠WXY<m∠YZX$

• $m∠WXY+m∠YXZ=180°$

• $m∠WXY+m∠XYZ=180°$

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

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

• An adjacent interior angle is supplementary to a remote interior angle.

• A remote interior angle is congruent to the exterior angle.

• An exterior angle is supplementary to a remote interior angle.

Which statement regarding the diagram is true?

• $m∠MKL+m∠MLK=m∠JKM$

• $m∠KML+m∠MLK=m∠JKM$

• $m∠MKL+m∠MLK=180°$

• $m∠JKM+m∠MLK=180°$

Which statements are always true regarding the diagram? Select three options.

• m∠5 + m∠3 = m∠4

• m∠3 + m∠4 + m∠5 = 180°

• m∠5 + m∠6 =180°

• m∠2 + m∠3 = m∠6

• m∠2 + m∠3 + m∠5 = 180°

Which represents an exterior angle of triangle ABF?

• ∠BAD

• ∠AFE

• ∠CAD

• ∠CAB

Which is a true statement about the diagram?

• m∠5 + m∠6 = m∠1

• m∠3 + m∠4 + m∠5 = 180°

• m∠1 + m∠2 = 180°

• m∠2 + m∠3 = m∠5

What is the value of x?

[picture not drawn to scale]

• x = 23

• x = 35

• x = 58

• x = 93

If m∠X = 34° and m∠Z = 26°, what is m∠Y?

• m∠Y = 26°

• m∠Y = 34°

• m∠Y = 60°

• m∠Y = 120°

Which statement about the value of x is true?

• x > 38

• x < 39

• x < 77

• x > 103

What is the value of k?

• k = 28

• k = 29

• k = 31

• k = 42