Answer:
∠1 = 142°
reason: angles 1 and 2 are supplementary so they equal 180. 180-38 is 142
∠3 = 38°
reason: angles 2 and 3 are adjacent angles because they are diagonal from each other so they will equal the same measure.
∠4 = 142°
reason: since angle 4 is adjacent to angle 1 and is supplementary to angle 3, it has to be 142
∠5 = 38°
reason: since it is a transversal that means both of the intersections are the same measurements. so angle 5 is 38 since it matches up with angle 2
∠6 = 142°
reason: for the same reason as angle 5. angle 6 matches up with angle 1 so it has to equal 142.
∠8 = 142°
reason: since angle 8 is adjacent to angle 6 it has to equal 142. angle 8 is also a transverse angle to angle 4. and since angle 4 also equals 142, 8 has to also
Step-by-step explanation:
hope this helped you :)
