Question

What is m∠LQK ?

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Answer 1

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° .