Question

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what is ( mangle lqk )?
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Explanation:

Step1: Identify complementary angles

$\angle KQL$ and $\angle LQG$ are complementary, so their sum is $90^\circ$.
$$(4n-15) + 3n = 90$$

Step2: Solve for $n$

Combine like terms and isolate $n$.
$$7n - 15 = 90$$
$$7n = 105$$
$$n = 15$$

Step3: Calculate $m\angle LQK$

Substitute $n=15$ into $(4n-15)$.
$$m\angle LQK = 4(15) - 15$$

Answer:

$45^\circ$