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What is m∠LQK ?

Enter your answer in the box.

What is m∠LQK ? Enter your answer in the box.-example-1

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The correct answer is 45°

User Ceil
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Answer:

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° .

User Alexander Zwitbaum
by
8.5k points

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