Statements
a. angle 1 and angle 2 form a linear pair. 23 an angle 2 form a linear pair.
b. 21 and angle 2 are supplementary angles. 23 and angle 2 are supplementary angles.
c. m angle1+m angle 2 = 180 m angle3+m angle 4 = 180
d. m angle1+m angle2=m angle3+m angle2
e. m angle2=m angle2
f. m angle1=m angle3
g. angle 1 cong angle3
reason
a.
b.
c.
d.
e.
f.
g.
Answers & Comments
Answer:
a. False. The statement contradicts itself. It states that "angle 1 and angle 2 form a linear pair," and then it states "23 and angle 2 form a linear pair." This creates a contradiction and makes the statement false.
b. True. The statement correctly states that "21 and angle 2 are supplementary angles" and "23 and angle 2 are supplementary angles." Supplementary angles are two angles whose measures add up to 180 degrees.
c. True. The statement correctly states that "m angle1 + m angle 2 = 180" and "m angle3 + m angle 4 = 180." This follows the property that the measures of angles in a straight line add up to 180 degrees.
d. False. The statement states that "m angle1 + m angle2 = m angle3 + m angle2." This creates a contradiction since it suggests that angle 1 is equal to angle 3, which may not be true in general.
e. True. The statement correctly states that "m angle2 = m angle2." This is a tautology, meaning the statement is always true.
f. False. The statement states that "m angle1 = m angle3." This may or may not be true, depending on the specific angles being referred to.
g. False. The statement states that "angle 1 cong angle3," suggesting that angle 1 is congruent to angle 3. This may or may not be true, depending on the specific angles being referred to.
Reasons for each statement can vary depending on the given information or context provided.