1. If NK = 7 and KL = 15, find NL. 2. If m∠JMK = (8x – 13)° and m∠LMK = (4x + 19)°, find x.

NL = 13.26

x = 9.5

Step-by-step explanation:

Find the diagram attached

1) Given that NK = 7 and KL = 15

NL² =  KL² - NK²

NL²  = 15² -7²

NL²  = 176

NL  = 13.26

2) Given that m∠JMK = (8x – 13)° and m∠LMK = (4x + 19)°

From the  rhombus;

m<JML = 120 degrees

m∠JMK + m∠LMK = m∠JML

8x-13 + 4x +19 = 120

12x + 6 = 120

12x = 120-6

12x = 114

x = 114/12

x =  9.5

Hence the valle of x is 9.5

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