Answer:
 <em>m∠C = 30° </em>
Step-by-step explanation:
If ΔADB is an equilateral, then m∠A = m∠ADB = m∠DBA = 60° 
If ΔDBC isosceles with DB ≅ BC, then m∠C = m∠BDC ; 
m∠C + m∠BDC = m∠DBA = 60° ⇒ <em>m∠C = 30°</em> 
 
        
             
        
        
        
No, Yes, No, Yes
using the laws of exponents
(1)
( )³ =
)³ = 
4³ × 4³ = 
 ≠
 ≠  → No
 → No
(2)
( )^4 =
)^4 = 
 ×
 ×  =
 =  → Yes
 → Yes
(3)
 = (6 × 3 )^8 =
 = (6 × 3 )^8 =  ×
 ×  ≠
 ≠  ×
 ×  → No
 → No
(4)
 = (4 × 5 )³ = 4³ × 5³ → Yes
 = (4 × 5 )³ = 4³ × 5³ → Yes
 
        
             
        
        
        
Technically, everything we know was made up by our own minds. We thought of it all. We decided that the color of the sky would be called "blue" and not "doorknob". Education is a continuous cycle that never stops progressing.