Question

find the value of x.
x =
(there is a triangle with an exterior angle of 130° and an interior angle of 75°, and the other interior angle is x°)

Explanation:

Step1: Find adjacent interior angle

The exterior angle is \(130^\circ\), so the adjacent interior angle is \(180^\circ - 130^\circ = 50^\circ\).

Step2: Use triangle angle sum

In a triangle, the sum of angles is \(180^\circ\). So \(x + 75^\circ + 50^\circ = 180^\circ\).

Step3: Solve for \(x\)

\(x = 180^\circ - 75^\circ - 50^\circ = 55^\circ\).

Answer:

\(55\)