Answer:
m∠NIC = m∠NEC
Therefore:
5x + 16 = 7x - 2
Re-arranging:
2 + 16 = 7x - 5x
18 = 2x
x = 9
Substitute the value of x:
m∠NIC = 5(9) + 16
m∠NIC = 61°
m∠NEC = 7(9) - 2
m∠NEC = 61°
Total parallelogram angle = 360°
Therefore:
m∠NIC + m∠NEC + m∠ENI + m∠ICE = 360°
61 + 61 + m∠ENI + m∠ICE = 360°
Since: m∠ENI = m∠ICE
61 + 61 + m∠ENI + m∠ENI = 360°
m∠ENI = 119°
m∠ICE = 119°
