Answer :

3n+(4n-15)=90

3n+4n-15=90

7n=105

n=105/7

n=15

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Angle LQK is 4n-15

If n=15

Angle LQK = 4(15) - 15

= 60 - 15

= 45
[tex]4n-15+3n=90\\ 7n=105\\ n=15\\\\ \angle LQK=4\cdot15-15=60-15=45^{\circ}[/tex]

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