Question

question image
(5x - 2)°
(3x + 4)°
o. find the value of x

Explanation:

Step1: Recall triangle angle sum

In a right triangle, the sum of angles is \(180^\circ\), and one angle is \(90^\circ\). So the other two angles sum to \(90^\circ\). Thus, \((5x - 2)+(3x + 4)=90\).

Step2: Simplify the equation

Combine like terms: \(5x + 3x-2 + 4 = 90\) → \(8x + 2 = 90\).

Step3: Solve for x

Subtract 2: \(8x = 90 - 2 = 88\). Divide by 8: \(x=\frac{88}{8}=11\).

Answer:

\(x = 11\)