Question

what is x equal to? * x = 48 degrees x = 108 degrees x = 72 degrees x = 96 degrees

Explanation:

Step1: Find the adjacent interior angle

The adjacent interior angle to \(156^{\circ}\) is \(180 - 156=24^{\circ}\) (linear - pair of angles, sum is \(180^{\circ}\)).

Step2: Use the triangle - angle sum property

In a triangle, the sum of interior angles is \(180^{\circ}\). Let the angles of the triangle be \(24^{\circ}\), \(108^{\circ}\), and \(x^{\circ}\). Then \(24 + 108+x=180\).
Simplify the left - hand side: \(132 + x=180\).
Subtract 132 from both sides: \(x=180 - 132\).

Answer:

\(x = 48\) degrees.