Answer:
1. x° = 60°
2. segment BA = 46
segment DC = 46
Step-by-step explanation:
1. 125°, 175°, x°
Every circle has a circumference angle of 360°, therefore we can get the value of x° if we subtract the sum of 125° and 175° from 360°.
x° = 360° - ( 125 + 175° )
x° = 360° - ( 300° )
x° = 60°
2. Find the value of segment BA and segment DC.
Supposedly, they're equal.
segment BA = 8x + 6 = radius BA or rBA
segment DC = 10x - 4 = radius DC or rDC
rBA = rDC
8x + 6 = 10x - 4
6 + 4 = 10x - 8x
2x = 10
x = 10/2 = 5
segment BA = 8x + 6 = 8(5) + 6 = 40 + 6 = 46
segment DC = 10x - 4 = 10(5) - 4 = 50 - 4 = 46
