Properties of Angles in Polygons

This video tutorial by Mr. Erlin covers a comprehensive review of polygons and quadrilaterals, focusing on calculating interior and exterior angles, determining the number of sides, and solving for unknowns. It also explores the properties of parallelograms, rectangles, rhombuses, and trapezoids, providing examples and problem-solving techniques.

What is the formula for the sum of the interior angles of a polygon with n sides?

• (n - 2) × 180

• n × 180

• (n + 2) × 180

• n × 360

How do you calculate the measure of each interior angle in a regular polygon?

• (n - 2) × 180 / n

• n × 180 / (n - 2)

• (n + 2) × 180 / n

• n × 360 / (n - 2)

What is the sum of the exterior angles of any polygon?

• 360 degrees

• 720 degrees

• 540 degrees

• 180 degrees

If a heptagon has angles measuring 107, 139, 131, 110, 145, and 128 degrees, what is the measure of the seventh angle?

• 170 degrees

• 140 degrees

• 150 degrees

• 160 degrees

In a parallelogram, if one angle is 55 degrees, what is the measure of its supplementary angle?

• 125 degrees

• 155 degrees

• 135 degrees

• 145 degrees

What is the relationship between the diagonals in a rectangle?

• They are congruent

• They are perpendicular

• They bisect each other

• They are parallel

In a rhombus, if one angle is 72 degrees, what is the measure of the opposite angle?

• 180 degrees

• 90 degrees

• 72 degrees

• 108 degrees

In an isosceles trapezoid, if one base angle is 117 degrees, what is the measure of the other base angle on the same side?

• 117 degrees

• 63 degrees

• 90 degrees

• 180 degrees