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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

5. Radical Equations

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Exercise 38 Page 263

A full turn of a circle measures 360^(∘).

62.5^(∘)

Practice makes perfect

Zack will drill holes at the points A, B, C, D, and E on the circle P. Given that the measure of ∠APE is 110^(∘) and the other four angles are congruent, we will find the measure of ∠CPD.

Circle with five lines from the center point P to the circumference. The end points of the line are labeled A, B, C, D, and E; the angle at APE is 110 degrees.

Let's label each of the four congruent angles as x.

Circle

Since a full turn of a circle measures 360^(∘), the sum of 4x and 110 is equal to 360. 4x+110=360 Let's now solve this equation for x.

4x+110=360

LHS-110=RHS-110

4x=250

.LHS /4.=.RHS /4.

x=62.5

Therefore, the measure of ∠CPD is 62.5^(∘).

Subchapter links

Exercises p.261-263