Answer:
Option (4)
Step-by-step explanation:
It has been given in the question that angle 1 is supplementary to angle 4.
m∠1 + m∠4 = 180°
∠2 and ∠3 are the interior consecutive angles.
Since, same side of the theorem says "Exterior angles formed on the same side of the parallel lines and the transversal line are supplementary".
Therefore, by converse of the same side Exterior angles theorem 'a' and 'b' will be parallel.
Option (4) will be the answer.
Given that Angle 1 and Angle 4 are supplementary, no lines can be concluded to be parallel as according to the Converse of the Corresponding Angles Postulate, the angles need to be congruent (equal), not supplementary, to infer parallel lines.
From the given information, it is mentioned that Angle 1 is supplementary to Angle 4. In geometry, supplementary angles are two angles that add up to 180 degrees. By the converse of the corresponding angles postulate, if two lines are cut by a transversal and the corresponding angles are congruent, then the lines are parallel.
In the context of your question, since the angles given are supplementary, they add up to 180 degrees and hence are not congruent. This implies, according to the corresponding angles postulate, that no lines can be concluded to be parallel based on the provided information. This is because the postulate only holds for congruent (equal), not supplementary angles.
#SPJ11
Answer:
90
Step-by-step explanation:
circumference of total circle = 16 pi
16 pi / 4 pi = 4
1 / 4 =25%
1/4 * 360 = 90
b. x=y+7/3
c. x=3(y-2/3)
d. x=3(y+2/3)
Answer:
Option c is correct
Step-by-step explanation:
Remmi wrote the equation of the line :
Multiply both sides by 3 we have;
Subtract 2 from both sides we have;
or
x = 3y-2
We can write this as:
Therefore, the following is an equivalent equation for x is,
Just took the quiz.
The answer is x=3(y-2/3)