9514 1404 393
Answer:
x = 25
F = 82
Step-by-step explanation:
Adjacent angles in a parallelogram are supplementary.
(4x -2)° +(3x +7)° = 180°
7x = 175 . . . . . . . . . . . . . . . divide by °, subtract 5, collect terms
x = 25 . . . . . . . . divide by 7
The far right angle is then ...
(3x +7)° = (3(25) +7)° = 82°
The opposite angle in the parallelogram has the same measure, as does the vertical angle to it, angle f.
∠f = 82°
