Question

find the value of the variables in the figures below
1.
2.
∠h and ∠j are complementary.

Explanation:

Step1: Recall the definition of complementary angles

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

Step2: Simplify the equation

Combine like - terms: \(2x+24 = 90\).

Step3: Isolate the variable term

Subtract 24 from both sides: \(2x=90 - 24\), so \(2x=66\).

Step4: Solve for \(x\)

Divide both sides by 2: \(x=\frac{66}{2}=33\).

Answer:

\(x = 33\)