Question

Need help ASAP. Please and thanks!:

Four of the interior angles of a hexagon measure 92°, 100°, 94°, and 140°. The remaining two angles each measure (x−32)°. What is the value of x? Justify your response.

A. The sum of all interior angle measure is 540°
, so each angle measuring (x−32)° has a measure of 123°
. Thus, (x−32)°=123°, and so x=155.

B. The sum of all interior angle measure is 720°
, so each angle measuring (x−32)° has a measure of 294°. Thus, (x−32)°=294°, and so x=326.

C. The sum of all interior angle measure is 720°
, so each angle measuring (x−32)° has a measure of 147°
. Thus, (x−32)°=147°, and so x=179.

D. The sum of all interior angle measure is 540°
, so each angle measuring (x−32)° has a measure of 246°. Thus, (x−32)°=246°, and so x=275.

Answer 1

The answer is x=294 (B)

Explanation:

Remember, all interior angles of a hexagon add to 720.

So add all the given numbers first.

92+100+94+140+x= 720

426+x=720

-426 from both sides

x= 294

I know this is a week later since you posted the question, sorry.