Answer:
The measure of ∠LQK is 45° .
Step-by-step explanation:
As the figure is given in the question.
∠LQK + ∠LQG = 90°
As given
∠LQK = 4n - 15
∠LQG = 3n
Putting the values in the above
4n - 15 + 3n = 90
7n - 15 = 90
7n = 15 + 90
7n = 105
\(n = \frac{105}{7}\)
n = 15
Thus
∠LQK = 4×15 - 15
= 60 - 15
= 45 °
Therefore the measure of ∠LQK is 45° .
