Finding Missing Angles in Quadrilaterals

The video tutorial explains how to calculate missing angle measurements in quadrilaterals by subtracting known angles from 360 degrees. It highlights the difference between triangles and quadrilaterals in terms of angle sums, with triangles summing to 180 degrees and quadrilaterals to 360 degrees. Two examples are provided: one using basic arithmetic and another employing an algebraic approach to find the missing angle.

What is the first step in calculating the missing angle in a quadrilateral?

• Multiply all given angles

• Add all given angles together

• Divide all given angles by 2

• Subtract all given angles from 360 degrees

How many degrees do the angles in a triangle add up to?

• 270 degrees

• 360 degrees

• 90 degrees

• 180 degrees

What is the sum of the angles in a quadrilateral?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

If a quadrilateral has angles of 105, 75, and 80 degrees, what is the missing angle?

• 90 degrees

• 120 degrees

• 110 degrees

• 100 degrees

In the first example, what is the sum of the given angles before finding the missing angle?

• 270 degrees

• 280 degrees

• 250 degrees

• 260 degrees

What is the missing angle in a quadrilateral with angles 56, 64, and 110 degrees?

• 140 degrees

• 130 degrees

• 120 degrees

• 150 degrees

In the second example, what is the sum of the first two angles added together?

• 140 degrees

• 130 degrees

• 120 degrees

• 110 degrees

What is the algebraic expression used to find the missing angle in the second example?

• 56 + 64 + X = 360

• 56 + 64 + 110 + X = 360

• 56 + 110 + X = 360

• 64 + 110 + X = 360

How do you verify the solution in the second example?

• By subtracting the largest angle from 360

• By adding all angles to see if they sum to 360

• By multiplying all angles together

• By dividing the sum of angles by 2

What is the correct calculation to find the missing angle in the second example?

• 360 - 260

• 360 - 250

• 360 - 240

• 360 - 230