Question

what is the value of x? x =

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. Let the third - interior angle of the triangle be \(y\). The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.

Step2: Use the exterior - angle theorem

We know that one exterior angle is 100° and one non - adjacent interior angle is 70°. According to the exterior - angle theorem of a triangle (\(Exterior\ angle=Sum\ of\ non - adjacent\ interior\ angles\)), we have \(100^{\circ}=70^{\circ}+x\).

Step3: Solve for \(x\)

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

Answer:

30