Question

1. If NK = 7 and KL = 15, find NL.

2. If m∠JMK = (8x – 13)° and m∠LMK = (4x + 19)°, find x.

Answer 1

NL = 13.26

x = 9.5

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