Question

A. −39
b. 34
c. 26
d. −34
e. −26

Answer 1

d. -34

Explanation:

Angles F and C are supplementary, so ...

(2x +146)° + (4x +238)° = 180°

6x = -204 . . . . . divide by °, collect terms, subtract 384

x = -34 . . . . . . . . divide by 6

_____

Check

∠F = 2x+146 = 2(-34)+146 = 78 . . . . degrees

∠C = 4x+238 = 4(-34)+238 = 102 . . degrees

These angles are both positive and supplementary. The answer checks OK.