Answer:
a. True
b. False
c. True
d. False
Step-by-step explanation:
a. True
Where, there are three straight lines intersecting one another, and whereby the sum of the interior angles formed between one of the straight lines and the other two is less than 180°, then the other two straight lines will cross if extended further on the same side of the figure where the sum of the intersecting angles between the lines was found to be less than 180°.
The converse statements is that
If three lines are drawn with two of the lines converging, then the third line can be drawn such that the sum of the interior angles between it and the other two lines is less than 180°
The contrapositive statements is that
If the sum of the interior angles between a first line and the other two lines is equal to 180° then the other two lines will not meet
b. False.
The answer is false is false because,
The length of the sides of the square must be equal
The interior angles of the square must also be equal
c. True
From Postulate 1, the sum of two adjacent angles on one side of the two intersecting lines is equal to 180°. So also on the other side of the intersection, the sum of the adjacent angles is equal to 180.
Therefore, we have
180° + 180° = 360°
The converse statements is that
If two lines meet at a point then the sum of angles at the point is 360°
The contrapositive statements is that
If the two lines do not meet, then the sum of angles on each line is 180°
d. False
A parallel line can be drawn from any point not on the line.
