Question

Three angles of a hexagon are congruent. The other three angles are also congruent, each with a measure twice that of the first three. What is the measure of each angle?

Answer 1

The sum of the interior angles of a hexagon is 720 degrees. If 3 angles are congruent, each with measure x degrees, and the other 3 angles are also congruent to each other, each with measure 2x degrees, then the total sum of all 6 angles would be 3x + 3(2x) = 9x. If this is equal to 720, then x = 80 degrees, while 2x = 160 degrees.
Therefore, there are 3 80-degree angles and 3 160-degree angles.

Answer 2

The measure of the first three angles will be 80 degrees and the other three angles will be 160 degrees.

Given information:

Three angles of a hexagon are congruent. The other three angles are also congruent, each with a measure twice that of the first three.

Let the first three angles be x. So, the other three angles will be 2x.

Now, the sum of all interior angles of a hexagon is equivalent to 720 degrees.

So, the measure of angles will be calculated as,

$3(x)+3(2x)=720\\3x+6x=720\\9x=720\\x=80\\2x=160$

Therefore, the measure of the first three angles will be 80 degrees and the other three angles will be 160 degrees.

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https://brainly.com/question/3295271