Alright, so what we can take as a given is that arcDE/2= ∠CDE=2x+20 since the arc corresponding to the angle is 2*the angle. To solve for arcDE, we multiply both sides by 2 to get 2(2x+20)=4x+40=arcDE. Since the arcs in a circle add up to 360 degrees and we only have -20+30x and arcDE, we have -20+40+4x+30x=360 using the associative property. Simplifying, we get 20+34x=340. Subtracting 20 from both sides, we get 340=34x. Next, we can divide both sides by 34 to get 10=x.
Answer:
Two 5 dollar bills for $10
Step-by-step explanation:
5+5=10
So 6:3
simplify
2:1
That means that the bigger angle is two times bigger than the smaller one
supplementary angles equal up to 180
smaller angle + larger angle = 180
s + l = 180
we can create our second equation using two times the smaller = larger
2s = l
our two equations are:
2s = l
s + l = 180
now that we have the two equations, we can solve using substitution to isolate the variable.
s + l = 180
s + (2s) = 180
simplify.
3s = 180
s = 60
the smaller angle has a value of 60.
now, remember that the larger angle is two times the smaller.
60 x 2 = 120
smaller angle: 60
larger angle: 120
we know this is correct because we know the smaller is 1/2 or 1:2 or 2:4 times the bigger, and the two angles add up to be 180 (60 + 120)
Hope this helps :)