Question

question 8 solve for x.

Explanation:

Step1: Recall angle - sum property

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. Here, the exterior angle is 75° and the two non - adjacent interior angles are equal (since the sides opposite to them are equal, indicated by the hash marks), and each is \(x\).
So, \(x + x=75^{\circ}\).

Step2: Simplify the equation

Combining like terms, we get \(2x = 75^{\circ}\).
Then, solve for \(x\) by dividing both sides of the equation by 2: \(x=\frac{75^{\circ}}{2}=37.5^{\circ}\).

Answer:

\(37.5^{\circ}\)