Answer:
A. Because the measure of the angle is and the angles and are Vertical angles. Therefore, they are congruent ( )
B.
Step-by-step explanation:
<h3> <em><u>The missing figure is attached.</u></em></h3><h3 />
You can observe in the figure that the parallel lines and are intersected by a another line (this is a transversal).
Let's begin with PART B:
Observe that the angles and are located inside the parallel lines and they alternate sides of the transversal. Therefore, we can determine that these angles are "Alternate Interior Angles".
Since the lines and are parallel, we know that the Alternate Interior Angles are congruent. Then:
Now we can solve the PART A.
Observe the figure.
Since the angle and the angle share the same vertex, they are "Vertical angles" and, therefore, they are congruent:
LOL, I should copy and past :)
The sum of angles for any triangle is always 180°, so in this case we can say:
x+3x+x+15=180 combine like terms on left side
5x+15=180 subtract 15 from both sides
5x=165 divide both sides by 5
x=33°
That of course is just x, the angles show specifically can be found by using that value of x for the others...
x, 3x, x+15 are 33°, 99°, 48° respectively
Circumference= 2pi radius
so as the radius increases also the circumference increases proportionally