Question

What is m∠LQK ? Enter your answer in the box.

Answer 1

∠LQK+∠GQL=90º
Therefore:
(4n-15)+(3n)=90
7n=90+15
7n=105
n=105/7
n=15

∠LQK=4n-15=4(15)-15=60-15=45

Answer: ∠LQK=45º

Answer 2

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° .