Inscribed Quadrilaterals

Calculate the missing angle in an inscribed quadrilateral if the other three angles are 80°, 100°, and 120°.

• 110

• 90

• 40

• 60

If the opposite angles in an inscribed quadrilateral are supplementary, and one angle measures 60°, what is the measure of the other angle?

• 150

• 90

• 30

• 120

In an inscribed quadrilateral, if one pair of opposite angles are 70° and 110°, what are the measures of the other two angles?

• 110° and 70°

• 90° and 90°

• 70° and 110°

• 180° and 0°

If the sum of the measures of two consecutive angles in an inscribed quadrilateral is 180°, what can you conclude about the quadrilateral?

• The quadrilateral is a parallelogram.

• The quadrilateral is a cyclic quadrilateral.

• The quadrilateral is a trapezoid.

• The quadrilateral is a regular polygon.

Determine the measure of the missing angle in an inscribed quadrilateral if the other three angles are 45°, 75°, and 105°.

• 90°

• 120°

• 135°

• 150°

If the diagonals of an inscribed quadrilateral are perpendicular bisectors of each other, what type of quadrilateral is formed?

• Rectangle

• Rhombus

• Square

• Parallelogram

Calculate the measure of the missing angle in an inscribed quadrilateral if the other three angles are 30°, 50°, and 100°.

• 45

• 60

• 75

• 0

If the sum of the measures of the opposite angles in an inscribed quadrilateral is 180°, what can you say about the quadrilateral?

• The quadrilateral is equilateral.

• The quadrilateral is a parallelogram.

• The quadrilateral is cyclic.

• The quadrilateral is a trapezoid.

In an inscribed quadrilateral, if one angle is 90°, what are the measures of the other three angles?

• 90°, 90°, 90°

• 90°, 90°, 0°

• 90°, 60°, 30°

• 90°, 45°, 45°

If the sum of the measures of the opposite angles in an inscribed quadrilateral is 90°, what type of quadrilateral is formed?

• Parallelogram

• Rhombus

• Rectangle

• Square