Properties of Quadrilaterals

How many degrees are in the missing angle?

• 60°

• 114°

• 70°

• 360°

• 45 because base angles sum to 180 in isosceles trapezoids.

• 135 because all angles are congruent in isosceles trapezoids.

• 45 because opposite angles are congruent in isosceles trapezoids.

• 135 because base angles are congruent in isosceles trapezoids.

• 123 because opposite angles are congruent in trapezoids.

• 57 because consecutive angles sum to 180 in parallel lines.

• 123 because consecutive angles sum to 180 in parallel lines.

• 57 because opposite angles are congruent in trapezoids.

• 10 ft. because opposite angles are congruent in an isosceles trapezoid.

• 10 ft. because the diagonals bisect each other in an isosceles trapezoid.

• 10 ft. because all sides of an isosceles trapezoid are congruent.

• 10 ft. because the legs of an isosceles trapezoid are congruent

Using information in the picture and what you know about angles in parallelograms, solve the equation for x.

• 1
• 10
• 9
• 6

• 10
• 5
• 8
• 3

• 85 because opposite angles are congruent in a rhombus.

• 85 because all angles are congruent in a rhombus.

• 95 because consecutive sum to 180 in a rhombus.

• 95 because the diagonals are congruent in a rhombus.

• 75 because opposite angles sum to 180 in a parallelogram.

• 75 because opposite angles are congruent in a parallelogram.

• 105 because opposite angles are congruent in a parallelogram.

• 105 because opposite angles sum to 180 0 in a parallelogram.

• 15 IN. because opposite sides are congruent in a rhombus.

• 15 IN. because all sides are congruent in a rhombus.

• 30 IN. because diagonals bisect each other in a rhombus.

• 30 IN. because diagonals are perpendicular in a rhombus.

• 145 because all angles sum to 360 0 in a quadrilateral

• 115 because consecutive angles are sum to 180 0 in a quadrilateral

• 105 because opposite angles are congruent in a quadrilateral

• 135 because consecutive angles are sum to 180 0 in a quadrilateral