Please explain how to solve the question.?
- icemanLv 73 years agoFavorite Answer
Angle AEC = Angle DEB = 4x degrees
Angle Formed by Two Intersecting Chords = 1/2(sum of intercepted arcs), so in this case:
4x = 1/2(120 + 2x)
4x = x + 60
3x = 60
x = 20 degrees
4x = 80 degrees
Angle AED = 1/2(360 - 2*80)
= 1/2(360 - 160)
Angle AED = 100 degrees
Edit: Re: the comment/question: The name of formulas used?
The first formula that was used to find the angles equating to 4x degrees, is driven by a theorem called:
"Angles of intersecting chords" . You can read and review more examples in the link below:
The second theorem that was use to find angle AED is simply the properties of vertical angles formed by 2 intersecting lines, for more information the please see the link below:
I hope this helps.
- 3 years ago
You need to shut your eyes to solve the question.