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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

2. Measuring Angles and Arcs

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Exercise 1 Page 728

A central angle of a circle is an angle with the vertex in the center of the circle. The sum of the measures of the central angles of a circle with no interior points in common is 360^(∘).

170

Practice makes perfect

A central angle of a circle is an angle with the vertex in the center of the circle. Note that the three given angles in the diagram are all central angles.

The sum of the measures of the central angles of a circle with no interior points in common is 360^(∘). With this information, we can write an equation in terms of x. 130+60+x=360 Finally, we can solve our equation for x.

130+60+x=360

Add terms

190+x=360

LHS-190=RHS-190

x=170

Subchapter links

Exercises p.728-732