Finding Missing Angles and Sides in Quadrilaterals

This video tutorial covers the properties of quadrilaterals, including parallelograms and isosceles trapezoids. It explains how to calculate unknown angles and sides using these properties. The video provides step-by-step solutions to example problems, demonstrating the application of concepts such as congruent sides and angles, and the sum of interior angles in quadrilaterals.

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

• 180 degrees

• 90 degrees

• 360 degrees

• 270 degrees

If one angle in a parallelogram is 105 degrees, what is the measure of its opposite angle?

• 180 degrees

• 255 degrees

• 75 degrees

• 105 degrees

In a parallelogram, if the sum of two adjacent angles is 210 degrees, what is the measure of each angle?

• 105 degrees

• 75 degrees

• 210 degrees

• 52.5 degrees

What is the measure of each non-parallel angle in an isosceles trapezoid if one of the parallel angles is 84 degrees?

• 96 degrees

• 84 degrees

• 48 degrees

• 192 degrees

If side DE in an isosceles trapezoid measures 8 cm, what is the length of side GF?

• 12 cm

• 16 cm

• 4 cm

• 8 cm

In a parallelogram, if angle W is 45 degrees, what is the measure of angle Y?

• 135 degrees

• 90 degrees

• 180 degrees

• 45 degrees

In a parallelogram, if side WX measures 13 units, what is the value of 2X?

• 6.5 units

• 26 units

• 13 units

• 19.5 units

What is the measure of angle B in a rectangle if one angle measures 90 degrees?

• 90 degrees

• 45 degrees

• 180 degrees

• 135 degrees

If side CB in a rectangle measures 18 units, what is the value of 3X?

• 54 units

• 6 units

• 9 units

• 18 units

What is the measure of each angle in a rectangle?

• 60 degrees

• 45 degrees

• 180 degrees

• 90 degrees