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Pearson Geometry Common Core, 2011

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Pearson Geometry Common Core, 2011 View details

3. Inscribed Angles

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Exercise 15 Page 784

The Inscribed Quadrilateral Theorem says that opposite angles of a quadrilateral inscribed in a circle are supplementary.

p = 90, q = 122

Practice makes perfect

Consider the given diagram.

In the given diagram, the vertices of the quadrilateral are all on the circle. This means that we have an inscribed quadrilateral. The Inscribed Quadrilateral Theorem says that opposite angles of a quadrilateral inscribed in a circle are supplementary.

Using this theorem, we can find the values of p and q. c|c p+90=180 & q+ 58=180 ⇕ & ⇕ p=90 & q= 122

Subchapter links

Lesson Check p.784

Practice and Problem-Solving Exercises p.784-787

Standardized Test Prep p.787

Mixed Review p.787