Angle 3 and angle 4 form a linear pair. the measure of angle 3 is four more than three times the measure of angle 4. find the measure of each angle

Since angles 3 and 4 form a linear pair, the sum of the measures of their angles must add up to 180.

We can define angle 3 as x, and angle 4 as (180-x).

x = 3 (180 - x) + 4.

Solving for x, we get x=138. This is angle 3. Angle 4 is 180-138, so angle 4 is 42.