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Pearson Geometry Common Core, 2011

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Pearson Geometry Common Core, 2011 View details

2. Chords and Arcs

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Exercise 44 Page 779

If a line is tangent to a circle, then the line is perpendicular to the radius at the point of tangency.

x=40

Practice makes perfect

If a line is tangent to a circle, then the line is perpendicular to the radius at the point of tangency.

Since the chords and the radius are perpendicular, we know that the angle between them is a right angle.

To find the value of x, recall that the sum of the angle measures in a quadrilateral is 360. x + 90+ 90 + 140=360 ⇔ x= 40

Subchapter links

Lesson Check p.776

Practice and Problem-Solving Exercises p.776-778

Standardized Test Prep p.779

Mixed Review p.779