What is m∠LQK ? Enter your answer in the box.
2 answers:
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 = 15
Thus
∠LQK = 4×15 - 15
= 60 - 15
= 45 °
Therefore the measure of ∠LQK is 45° .
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Step-by-step explanation:
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