Answer:
Step-by-step explanation:
1). m∠AEC = m∠AEB + m∠BEC 
                   = 21° + 37°
                   = 58°
2). m∠BED = m∠BEC + m∠CED 
                    = 37° + 44°
                    = 81°
3). m∠IKF = m∠IKH + m∠HKG + m∠GKF
                 = m∠IKH + m∠HKG + m∠IKH [Since, ∠IKH ≅ ∠GKF]
                 = 2∠IKH + m∠HKG
          103° = 2∠IKH + 41°
    2(∠IKH) = 103 - 41
  m(∠IKH) = 31°
4). m∠AED = m∠AEB + m∠BEC + m∠CED 
                   = 21° + 37° + 44°
                   = 102°
5). m∠JKG = 108°
     m∠JKG = m∠JKI + m∠IKH + m∠HKG
     108° = m∠JKI + 31° + 41°
     m∠JKI = 108° - 72°
     m∠JKI = 36°
6). m∠HKF = m∠GKF + m∠HKG 
                   = m∠IKH + m∠HKG [Since, m∠GKF = m∠IKH]
                   = 31° + 41°
                   = 72°
7). m∠NQO = m∠MQN = 64°
8). m∠JKF = m∠JKI + m∠IKF
                  = 36° + 103°
                   = 139°
8). m∠MQO = 2(m∠NQO) 
                     = 2(64)°
                     = 128°
9). m∠LQO = 156° 
     m∠LQM = m∠LQO - m∠MQO
                     = 156° - 128°
                     = 28°
10. m∠NQP = m∠NQO + m∠OQP
                    = 64° + m∠LQM [Since ∠OQP ≅ ∠LQM]
                    = 64° + 28°
                    = 92°
 
        
             
        
        
        
Answer:
I think the answer is 'congruent'. :)
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
24
Step-by-step explanation:
In this question, you have to solve by plugging in the value to the "k" variable and solve.
Solve:
5(3)^2 - 7(3)
3^2 = 9
5(9) - 7(3)
45 - 7(3)
45 - 21 = 24
Your final answer would be 24.
 
        
                    
             
        
        
        
Answer:
how should I know?
Step-by-step explanation: