Step-by-step explanation:
(x + 20)º and (4x - 5)º are supplementary angles, meaning the sum of their angles = 180º.
(x + 20) + (4x - 5) = 180
5x + 20 - 5 = 180
5x + 15 = 180
5x = 165
165/5 = 33
Answer: x = 33
Let
rR--------> radius of the circle R
rS-------> radius of the circle S
LR------> the length of the intercepted arc for circle R
LS------> the length of the intercepted arc for circle S
we have that
rR=2/3 ft
rS=3/4 ft
rR/rS=8/9--------> rS/rR=9/8
LR=(4/9)π ft
we know that
if Both circle R and circle S have a central angle , the ratio of the radius of circle R to the radius of circle S is equals to the ratio of the length of circle R to the length of circle S
rR/rS=LR/LS--------> LS=LR*rS/rR-----> [(4/9)π*9/8]----> (1/2)π ft
the answer is
the length of the intercepted arc for circle S is (1/2)π ft
Angle A C would be collect