Answer:
x = 143°
Step-by-step explanation:
When chords cross, the angle between them is the average of the measures of the intercepted arcs. Here, it is useful to consider the larger angle where the chords cross, the supplement of 37°, which is 143°. That is the average of the two arc measures (x+5) and (x-5). That average is ...
((x +5) +(x -5))/2 = 2x/2 = x
In short, x = 143°.
Answer:
AB ≈ 4.41
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos25° = 
= 
= 
( multiply both sides by AB )
AB × cos25° = 4 ( divide both sides by cos25° )
AB = 
≈ 4.41 ( to the nearest hundredth )
The two numbers would be 12 and 8 because 12 is 4 more than 8 and so the sum of 12 and 8 is 20.
