Question

What is m∠LQK ?

Enter your answer in the box.

Answer 1

The correct answer is 45°

Answer 2

The measure of ∠LQK is 45° .

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 = (105)/(7)`

n = 15

Thus

∠LQK = 4×15 - 15

= 60 - 15

= 45 °

Therefore the measure of ∠LQK is 45° .