Answer:
x = 44
Explanation:
The circumference of a circle is always 360°
This means that the sum of the minor arcs that make up the circle is 360°
So sum of minor arcs = 360°
The lengths of the arcs are seen as following :
- 3x - 7°
- x + 32°
- 70°
- x + 45°
If sum of minor arcs = 360
Then,
3x - 7 + x + 32 + 70 + x + 45 = 360
==> combine like terms
5x + 140 = 360
==> subtract 140 from both sides
5x = 220
==> divide both sides by 5
x = 44