Question

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

Answer 1

A. 80°

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°

Answer 2

9514 1404 393

Answer:

A) 80°

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.