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In each figure, fine a is parallel to line b and line c intersects lines a and b. in a a b. 120 60" C. Figure A Figure B Figure c Which of the following statements is not true about the figures? A B. A is the supplement to the given angle in each figure in Figure A is a supplement to 4 in Figure 8. ma in Figure B is greater than m in Figure C. me in Figure C is greater than ma in Figure A. de D

In Each Figure Fine A Is Parallel To Line B And Line C Intersects Lines A And B In A A B 120 60 C Figure A Figure B Figure C Which Of The Following Statements I class=

Sagot :

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.

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