Supplementary angles are angles that sum up to 180 degrees
Step 1:
If m<x and m<y are supplementary, hence;
m<x + m<y = 180 ....................1
Step 2:
If m<y is a supplement to m<z, hence:
m<y + m<z = 180 ...........................2
Equating 1 and 2
m<x + m<y = m<y + m<z
Subtract m<y from both sides
m<x + m<y-m<y = m<y + m<z - m<y
m<x = m<z
This proves the statement m<x = m<z
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