Question

type the answer in each space provided. use numbers instead of words. determine the value of x in each diagram. a.

Explanation:

Step1: Use exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. In the given triangle, the exterior angle is \(81^{\circ}\), and the two non - adjacent interior angles are \(x^{\circ}\) and \(2x^{\circ}\). So, \(x + 2x=81\).

Step2: Combine like terms

Combining the left - hand side of the equation \(x + 2x = 81\), we get \(3x=81\).

Step3: Solve for \(x\)

Dividing both sides of the equation \(3x = 81\) by 3, we have \(x=\frac{81}{3}=27\).

Answer:

27