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1. 5,040°

2. 168°

3. 18

4. m∠A=80°, m∠C=140°

5. a. x = 35, y = 90

   b. x = 5, y = 6

Step-by-step explanation:

1. The sum of the measures of all interior angles of n-sided polygon is always equal to

Hence, the sum of the measures of 30-gon is

2. The measure of the interior angle in regular n-sided polygon is always equal to

Hence, the measure of the interior angle in regular 30-gon is equal to

3. The measure of the interior angle in regular n-sided polygon is always equal to

If the measure of one interior angle in regular n-sided polygon is 160°, then

4. The diagram shows hexagon with four congruent angles with measure of and two congruent angles with measures of The sum of the measures of all interior angles in a hexagon is

Hence,

Therefore,

5. Opposite angles of the parallelogram are congruent, so

and

Opposite sides of the parallelogram are congruent, so

and

1 + (6 / x - 1)

step-by-step explanation:

divide using polynomial division.