Question

lines are cut by a
f angle 3 is 34°. what is
of the exterior angle.

Explanation:

Step1: Identify angle - pair relationship for upper - part problem

If two parallel lines are cut by a transversal, and angle 3 is 34°, and we assume we want to find a corresponding or alternate angle. Without further specification, if we consider the corresponding angle relationship, the angle in the same relative position on the other parallel - line and transversal intersection has the same measure. But since the question is incomplete regarding what specific angle we need to find among angles 1 - 8, we'll focus on the triangle problem below.

Step2: Apply triangle exterior - angle theorem

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. For the triangle with interior angles 42° and 60°, if \(x\) is the exterior angle, then \(x=42 + 60\).
\[x=42+60 = 102^{\circ}\]

Answer:

\(102^{\circ}\)