Finding Angles in Quadrilaterals

This video tutorial explains how to calculate angles in a quadrilateral using given ratios and known angles. It covers the properties of quadrilaterals, methods to find angles when given ratios, and how to determine the fourth angle when three angles are known. The tutorial includes examples and practice problems to reinforce learning.

What is a quadrilateral?

• A polygon with six sides

• A polygon with five sides

• A polygon with four sides

• A polygon with three sides

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

• 450 degrees

• 180 degrees

• 270 degrees

• 360 degrees

If the angles of a quadrilateral are in the ratio 1:2:3:4, what is the measure of the smallest angle?

• 36 degrees

• 72 degrees

• 108 degrees

• 144 degrees

In a quadrilateral with angles in the ratio 1:2:3:4, what is the measure of the largest angle?

• 36 degrees

• 72 degrees

• 108 degrees

• 144 degrees

How do you calculate the measure of each angle in a quadrilateral with angles in the ratio 1:2:3:4?

• Divide 360 by 4 and multiply by each ratio number

• Divide 360 by 10 and multiply by each ratio number

• Divide 360 by 5 and multiply by each ratio number

• Divide 360 by 9 and multiply by each ratio number

In a quadrilateral with angles in the ratio 3:4:5:6, what is the measure of the smallest angle?

• 60 degrees

• 120 degrees

• 80 degrees

• 100 degrees

What is the measure of the largest angle in a quadrilateral with angles in the ratio 3:4:5:6?

• 60 degrees

• 80 degrees

• 100 degrees

• 120 degrees

How do you determine the smallest and largest angles in a quadrilateral with angles in the ratio 3:4:5:6?

• Multiply the smallest and largest ratio numbers by 10

• Multiply the smallest and largest ratio numbers by 20

• Multiply the smallest and largest ratio numbers by 40

• Multiply the smallest and largest ratio numbers by 30

If three angles of a quadrilateral are 54, 125, and 110 degrees, what is the measure of the fourth angle?

• 91 degrees

• 81 degrees

• 61 degrees

• 71 degrees

What is the first step in finding the fourth angle of a quadrilateral when three angles are known?

• Add the three known angles

• Subtract the three known angles from 360

• Multiply the three known angles

• Divide the three known angles by 3