Exploring the Angle Sum Property of Quadrilaterals

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

• 270 degrees

• 360 degrees

• 180 degrees

• 90 degrees

How can a quadrilateral be split to apply the triangle angle sum theorem?

• Into three triangles

• Into two triangles

• Into four triangles

• Cannot be split into triangles

If angle A is 86 degrees, angle D is 105 degrees, and angle C is 64 degrees, what is the measure of angle B in a quadrilateral?

• 105 degrees

• 95 degrees

• 85 degrees

• 115 degrees

In a quadrilateral, if three angles are known, how do you find the fourth angle?

• Add up the known angles

• Multiply the known angles

• Subtract the sum of known angles from 180

• Subtract the sum of known angles from 360

What algebraic steps are used to isolate x in the equation for a quadrilateral's angles?

• Only addition

• Subtraction and division

• Multiplication and division

• Addition and subtraction

What is the value of x when the angles of the quadrilateral are 98, 102, 58 degrees, and x?

• 112 degrees

• 90 degrees

• 100 degrees

• 102 degrees

How do you find the measure of an unknown angle in a quadrilateral when given an algebraic expression for it?

• Estimate based on other angles

• Use the cosine rule

• Apply the angle sum property and solve the equation

• Measure it with a protractor

What is the first step in solving for the measure of angle v when it is expressed as 1 + 47x?

• Find the value of x first

• Multiply 47 by x

• Divide by 47

• Add 1 to 47

After finding x = 2, what is the measure of angle v if v = 1 + 47x?

• 93 degrees

• 95 degrees

• 94 degrees

• 96 degrees

What is the correct sequence of operations to solve 1 + 47x when x = 2?

• Divide first, then add

• Multiply first, then add

• Subtract first, then divide

• Add first, then multiply