Question

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what is the value of x?
x =

Explanation:

Step1: Use 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.
In the given triangle, the exterior angle is \(100^{\circ}\), and the two non - adjacent interior angles are \(70^{\circ}\) and \(x\). So, \(100 = 70+x\).

Step2: Solve for \(x\)

Subtract \(70\) from both sides of the equation \(100 = 70+x\).
\(x=100 - 70\).

Answer:

\(30\)