Question

what is the value of x?
x =
exterior angle = non - adjacent interior angle + non - adjacent interior angle
(there is a triangle in the figure, with one angle being 70°, one exterior angle being 100°, and the other angle being x°)

Explanation:

Step1: Recall the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. Here, the exterior angle is \(100^{\circ}\), one non - adjacent interior angle is \(70^{\circ}\) and the other non - adjacent interior angle is \(x^{\circ}\). So we can write the equation \(100 = 70+x\).

Step2: Solve for x

To solve for \(x\), we subtract \(70\) from both sides of the equation \(100 = 70+x\).
\(x=100 - 70\)
\(x = 30\)

Answer:

\(30\)