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Pearson Geometry Common Core, 2011

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Pearson Geometry Common Core, 2011 View details

Chapter Review

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Exercise 8 Page 814

The sum of interior angles of a quadrilateral is 360^(∘).

x=120

Practice makes perfect

Given the figure, we will find the value of x.

Focus on the quadrilateral formed by two tangents and two radii of the circle. As indicated on the figure, the radii are perpendicular to the tangents.

Now, recalling that the sum of interior angles of a quadrilateral is 360^(∘), we will add the angle measures of the quadrilateral to find the value of x.

60+90+90+x=360 ⇕ x=120

Thus, the value of x is 120.