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?

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,

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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75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

linear pair postulates