Question

1. x = □
2. x = □

Explanation:

Step1: Find the third angle of the first triangle

The sum of angles in a triangle is \(180^{\circ}\). For the top - left triangle with angles \(52^{\circ}\) and \(56^{\circ}\), the third angle \(A = 180-(52 + 56)=72^{\circ}\).

Step2: Find the third angle of the second triangle

For the bottom - left triangle with angles \(80^{\circ}\) and \(23^{\circ}\), the third angle \(B=180-(80 + 23)=77^{\circ}\).

Step3: Calculate \(x\)

Using the angle - sum property for the triangle formed by \(x\), \(A\), and \(B\) (since the sum of angles in a triangle is \(180^{\circ}\)), we have \(x=180-(72 + 77)\).
\(x = 31\)

Answer:

\(31\)