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4. determine the value of x in the following diagram.

Question

  1. determine the value of x in the following diagram.

Explanation:

Step1: Use the property of complementary angles

Complementary angles add up to \(90^{\circ}\). So, \(x + 24=90\).

Step2: Solve the equation for \(x\)

Subtract \(24\) from both sides of the equation: \(x=90 - 24\).

Answer:

\(x = 66\)