Question

1. find the value of x.

50
40
27
18

Explanation:

Step1: Use the triangle angle - sum theorem

In a right - triangle, the sum of the interior angles is \(180^{\circ}\), and one angle is \(90^{\circ}\). So, \((x + 23)+(x + 13)+90=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(x+x+23 + 13+90=180\), which becomes \(2x+126 = 180\).

Step3: Solve for \(x\)

Subtract \(126\) from both sides: \(2x=180 - 126\), so \(2x=54\). Then divide both sides by \(2\): \(x=\frac{54}{2}=27\).

Answer:

\(27\)