Answer:
loding...
Step-by-step explanation:
Answer:
63
Step-by-step explanation:
Hi there!
In order to find the answer to this question we must know about:
The angles of intersecting chords theorem
The theorem states that if two chords intersect the angles formed at the intersection is equal to half the sum of its intercepted arc and it's vertical angle's intercepted arc.
Angle ABC is formed by intersecting chords meaning that the measure of angle ABC is equal to half the sum of its intercepted arc + it's vertical angle's intercepted arc ( angle ABC vertical angle is angle EBD. Angle EBD's intercepting arc is arc ED. )
Angle ABC intercepted arc is AC
Hence Angle ABC = 1/2 ( arc AC + arc ED)
Arc ED = 44 and arc AC = 82
Thus, angle ABC = 1/2(82 + 44)
82 + 44 = 126
126/2=63
Hence Angle ABC = 63
Check the picture below.
we have three sides, let's look at the two smaller sides first, 14 and 25.
check the picture atop
if we move the sides closer and ever closer to each other, to the extent that one is right on top of the other, what is the length of the red side? Well, assuming the two smaller sides are one pancaked on top of the other, the red side will be as long as 25 - 14 = 11. However, the sides can't be on top of each other, because if that's so, we have a flat-line, and thus we wouldn't have a triangle. So whatever the third side may be, it must be greater than 11.
check the picture below
Now, if we move the sides away from each other, farther and farther to the extent that one is parallel to the other, then the third side will just be as long as 14 + 25 = 39 However, we can't do that, because if that were to happen, we again will have a flat-line and not a triangle. So whatever the third side may be, it must be less than 39. So 40 is clearly a no dice.
now we can do the same to hmmm ohh any of the other sets, say 10, 19 and 26, well, 19 - 10 = 9, and 10 + 19 = 29, so the 3rd side must be greater than 9 and less than 29, however 26 is fine, because is within that range, same for the other two sets if you wish to check them.
I cannot see the text. If you take another picture zoomed in I will answer it.