Question

problem 19: (first taught in lesson 31) find z. after you enter your answer press go. z =

Explanation:

Step1: Find the adjacent interior angle

The adjacent interior angle to \(110^{\circ}\) is \(180 - 110=70^{\circ}\) (linear - pair angles sum to \(180^{\circ}\)).

Step2: 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.
Let the non - adjacent interior angles be \(60^{\circ}\) and \(70^{\circ}\). Then \(z=60 + 70\) (exterior - angle theorem).

Answer:

\(z = 130\)