We have to evaluate each statement:
A) <1 is the supplement to the given angle in each figure.
For figure A, this is true, as <1 is supplementary to the consecutive exterior angle that measures 120 degrees.
For Figure B it is also true, as its corresponding angle is supplementary to 60 degrees.
For Figure C, we can see that they are supplementary as they form a 180 degree angle with the 40-degree angle.
This statemtent is true.
B) <1 in figure A is a supplement to <1 in figure B.
<1 in figure A is supplement to 120 degree, so its measure is 180-120=60 degrees.
As <1 in figure B is supplementary to the 60-degree angle, then it is also supplementary to angle <1 of figure A.
This statement is true.
C) m<1 in figure B is greater than m<1 in figure C.
m<1 in figure B is equal to 120 degrees, as it is supplementary to 60 degrees.
m<1 in figure C is equal to 140 degrees, as it is supplementary to 40 degrees.
Then, m<1(B) is smaller than m<1(C).
This statement is false.
D) m<1 in figure C is greater than m<1 in figure A.
m<1 in C is equal to 140 degrees.
m<1 in A is equal to 60 degrees.
Then m<1(C) is greater than m<1(A).
This statement is true.
Answer: statement C is false.
