Unit 7 polygons and quadrilaterals answer key homework 1

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What is the sum of the measures of the interior angles of a 25 Gon?
What is the formula to find the measure of each interior angle of a regular polygon?
How many sides does a polygon have if the sum of the measures of its angles is 1980?
How many sides does the regular polygon with an interior angle measuring 170 have?

Description of unit 7 polygons and quadrilaterals homework 1

GEOMETRYUnit7HONORS GEOMETRYUnit 7 Polygons & Quadrilaterals: TOPICHOMEWORKDAY 1Interior & Exterior Angles of Polygons #1DAY 2ParallelogramsHW #2DAY 3 DAY 4Quiz 71DAY 5RectanglesHW #3DAY 6Rhombi &

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All the properties of parallelograms, rectangles, and rhombi:

1) Opposite sides are parallel.

2) Opposite sides are congruent.

3) Opposite angles are congruent.

4) Consecutive angles are supplementary.

5) Diagonals bisect each other.

6) All four angles are right angles.

7) Diagonals are congruent.

8) All four sides are congruent.

9) Diagonals are perpendicular.

10) Diagonals bisect opposite angles.

What is the sum of the measures of the interior angles of a 25 Gon?

Hence, the sum of all the interior angles of a 25-sided polygon is 4140∘.

What is the formula to find the measure of each interior angle of a regular polygon?

Lesson Summary A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n - 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n - 2) * 180 / n.