Question

What is the value of x?

A: -39

B: -34

C: 26

D: - 26

E: 34

Answer 1

X=-34; add both expressions together and solve for x

Answer 2

B: -34

Explanation:

The given angles are supplementary, so you have ...

(2x+146) + (4x+238) = 180

6x +384 = 180 . . . . . simplify

6x = -204 . . . . . . . . . subtract 384

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

_____

Check

angle F is (2·(-34)+146)° = 78°

angle C is (4·(-34)+238)° = 102°

These angles indeed are supplementary, so the answer checks OK.