Inscribed Quadrilaterals

Front

What is an inscribed quadrilateral?

Back

A quadrilateral is inscribed in a circle if all its vertices lie on the circumference of the circle.

Front

What is the relationship between the opposite angles of an inscribed quadrilateral?

Back

The opposite angles of an inscribed quadrilateral are supplementary, meaning they add up to 180 degrees.

Front

If angle A and angle C are opposite angles in an inscribed quadrilateral, what is the equation that relates them?

Back

m∠A + m∠C = 180°.

Front

If angle B measures 76 degrees in an inscribed quadrilateral, what is the measure of angle D?

Back

m∠D = 180° - 76° = 104°.

Front

What is the sum of all angles in any quadrilateral?

Back

The sum of all angles in a quadrilateral is 360 degrees.

Front

If angle A measures 104 degrees and angle B measures 76 degrees in an inscribed quadrilateral, what is the measure of angle C?

Back

m∠C = 180° - m∠A = 180° - 104° = 76°.

Front

What is the measure of angle W if angle X measures 84 degrees in an inscribed quadrilateral?

Back

m∠W = 180° - m∠X = 180° - 84° = 96°.

Front

How do you find the measure of an angle in an inscribed quadrilateral if you know the measures of the other three angles?

Back

You can find the measure of the unknown angle by using the equation: m∠unknown = 360° - (m∠1 + m∠2 + m∠3).

Front

What is the definition of supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

If angle A measures 130 degrees in an inscribed quadrilateral, what is the measure of angle C?

Back

m∠C = 180° - m∠A = 180° - 130° = 50°.