Question

5
x° = ____________

Explanation:

Step1: Recall polygon angle sum formula

For a polygon with \( n \) sides, the sum of interior angles is \( (n - 2)\times180^\circ \). This is a hexagon (\( n = 6 \)), so sum is \( (6 - 2)\times180^\circ = 720^\circ \).

Step2: Identify known angles

Right angles are \( 90^\circ \), so two right angles: \( 90^\circ\times2 = 180^\circ \). Other angles: \( 120^\circ \), \( 124^\circ \), \( 160^\circ \), and \( x^\circ \).

Step3: Sum known angles

Sum of known angles: \( 180^\circ + 120^\circ + 124^\circ + 160^\circ = 584^\circ \).

Step4: Solve for \( x \)

Total sum is \( 720^\circ \), so \( x = 720^\circ - 584^\circ = 136^\circ \).

Answer:

\( 136^\circ \)