How to find the missing angle of a kite

The video tutorial explains the properties of kites in geometry, emphasizing that kites have no parallel sides but have two sets of congruent sides. It discusses the perpendicular nature of diagonals and the presence of at least one pair of congruent opposite angles. The tutorial then focuses on solving for the measure of angle D in a kite by setting up an equation based on the sum of angles in a quadrilateral, demonstrating the solution step-by-step.

Which of the following is a true statement about the sides of a kite?

• A kite has one pair of parallel sides.

• All sides of a kite are equal.

• A kite has no parallel sides.

• A kite has two pairs of parallel sides.

What is a unique property of the diagonals in a kite?

• They are equal in length.

• They are parallel to each other.

• They bisect each other.

• They are perpendicular to each other.

In a kite, if one pair of opposite angles is not congruent, what can be said about the other pair?

• The other pair must also be non-congruent.

• The other pair must be congruent.

• Both pairs are always congruent.

• The angles are supplementary.

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

• 180 degrees

• 360 degrees

• 90 degrees

• 270 degrees

If the equation for the angles in a kite is 36 + 70 + X + X = 360, what is the value of X?

• 137

• 127

• 117

• 147