Interior Angles and Complementary Angles

The video tutorial covers the calculation of the sum of interior angles in polygons using the formula 180(n-2). It provides examples for triangles, quadrilaterals, and pentagons. The tutorial also demonstrates solving for unknown angles in a quadrilateral using algebraic expressions. Additionally, it explains complementary and supplementary angles, providing examples and solving related problems.

What is the formula for calculating the sum of interior angles of a polygon?

• 180(n+2)

• 180(n-2)

• 360(n-2)

• 360(n+2)

If a polygon has 5 sides, what is the sum of its interior angles?

• 360 degrees

• 900 degrees

• 720 degrees

• 540 degrees

How many degrees are in the sum of the interior angles of a triangle?

• 270 degrees

• 180 degrees

• 90 degrees

• 360 degrees

What is the sum of the interior angles of a quadrilateral?

• 180 degrees

• 450 degrees

• 270 degrees

• 360 degrees

In a quadrilateral, if the angles are expressed as 4x+10, 7x, 3x, and x+20, what is the value of x?

• 24

• 26

• 22

• 20

What is the measure of angle A if it is expressed as 4x+10 and x=22?

• 88 degrees

• 104 degrees

• 92 degrees

• 98 degrees

What do complementary angles add up to?

• 360 degrees

• 90 degrees

• 180 degrees

• 270 degrees

What do supplementary angles add up to?

• 180 degrees

• 90 degrees

• 360 degrees

• 270 degrees

If two angles are complementary and one is 30 degrees, what is the other angle?

• 60 degrees

• 80 degrees

• 50 degrees

• 70 degrees

In a complementary angle pair with a ratio of 6:4, what is the measure of the larger angle?

• 54 degrees

• 36 degrees

• 48 degrees

• 60 degrees