DETERMINE THE VALUE OF X
A. 80
B. 249
C.78
D.160

9514 1404 393
Answer:
A) 80°
Step-by-step explanation:
The sum of the angle measures in this hexagon is ...
(6 -2)×180° = 720°
Then the value of x (in degrees) can be found from ...
x + 2x = 720 -78 -134 -136 -132 = 240
x = 240/3 = 80
The value of x is 80 degrees.
Answer:
A. 80°
Step-by-step explanation:
As we know that the sum of measures of angles of hexagon is 720 ° .
78° + 134 ° + 136 ° + 132 ° + 2x + x = 720°
combine like terms
480° + 3 x = 720°
subtract 480° from both side
480 ° - 480° + 3 x = 720° - 480°
3 x = 240°
Divide each side by 3
3x / 3 = 240°/3
x = 80 °.
Hence, value of x = 80°
Verification :-
if x = 80°
then ,
2x = 2 × 80° = 160°
Now, Sum of all angles of hexagon is
78° + 134 ° + 136 ° + 132 ° + 160° + 80° = 720°