Look at the figure shown below:

Triangle MYZ is an obtuse angled triangle. Side MY of the triangle is extended till N so that MY is equal to YN. Z is a point on the left of X. Points Z and Y and points Z and M are joined using straight lines. Angle ZYN is equal to angle XYM. Angle XNY is equal to angle ZMY.

A student made the table shown below to prove that XY is equal to YZ:

Question

Look at the figure shown below:

 Triangle MYZ is an obtuse angled triangle. Side MY of the triangle is extended till N so that MY is equal to YN. Z is a point on the left of X. Points Z and Y and points Z and M are joined using straight lines. Angle ZYN is equal to angle XYM. Angle XNY is equal to angle ZMY.

A student made the table shown below to prove that XY is equal to YZ:

anonymous · Answer

Statements	Justifications
NY = MY
Given
m∠MYX = m∠NYZ
Given
m∠XNY = m∠ZMY
Given
MISSING
SOLVE
m∠MYZ = m∠MYX + m∠XYZ
Angle Addition Postulate
m∠MYZ = m∠NYZ + m∠XYZ
Substitution
m∠NYX = m∠MYZ
Transitive Property
triangleXYN ≅triangleZYM
ASA postulate
XY = ZY
CPCTC

Provide the missing statement and justification in the proof.
Using complete sentences, explain why the proof would not work without the missing step.

anonymous · Answer

attachment

anonymous · Answer

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