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Math / Excursions in Modern Mathematics: Pearson New International Edition 8 / Chapter 3 / Problem 66

Excursions in Modern Mathematics: Pearson New International Edition | 8th Edition | ISBN: 9781292022048 | Authors: Peter Tannenbaum

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Angelina and Brad are planning to divide the chocolatestrawberry cake shown in Fig

Chapter 3, Problem 66

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QUESTION:

Angelina and Brad are planning to divide the chocolatestrawberry cake shown in Fig. 41(a) using the dividerchooser method, with Angelina being the divider. Suppose that Angelina values chocolate cake three times as much as she values strawberry cake. Figure 41(b) shows a generic cut made by Angelina dividing the cake into two shares s1 and s2 of equal value to her. Think of s1 as an x chocolate y strawberry share. For each given measure of the angle x, find the corresponding measure of the angle y.

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QUESTION:

Angelina and Brad are planning to divide the chocolatestrawberry cake shown in Fig. 41(a) using the dividerchooser method, with Angelina being the divider. Suppose that Angelina values chocolate cake three times as much as she values strawberry cake. Figure 41(b) shows a generic cut made by Angelina dividing the cake into two shares s1 and s2 of equal value to her. Think of s1 as an x chocolate y strawberry share. For each given measure of the angle x, find the corresponding measure of the angle y.

ANSWER:

Step 1 of 5

Let be the value of strawberry cake per degree to Angelina.

Value of chocolate cake per degree to Angelina

As given

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