Mathematics: Raghav, Rajit, Junsu, Mia, and Umema were finished with lunch and began playing with drink straws. Each one was making a line design using either 3 or 4 straws. Since they had just come from math class where they had been studying special angles, Raghav pulled his pencil out of his bookbag and labeled some of the angles and lines. He then challenged himself and the others to find the values of x and y in degrees. Show how you would find the values of x and y for Raghav’s straw figure shown below

9Step-by-step explanation:This is my opinion if i divide 9by 3 I get 3...

Raghav, Rajit, Junsu, Mia, and Umema were finished

oliviacolaizzi

06.05.2021

x = $25.8^{o}$ and y = $51.4^{o}$

Step-by-step explanation:

Known that he sum of angles on a straight line is $180^{o}$ . From the diagram;

2y + x + y = $180^{o}$

x + 3y = $180^{o}$ ................ 1

Also,

2x + x + 2y = $180^{o}$

3x + 2y = $180^{o}$ .............. 2

Using the elimination method, multiply equation 1 by 3 and equation 2 by 1

3x + 9y = 540 ............ 3

3x + 2y = $180^{o}$ ............. 4

7y = 360

y = $\frac{360}{7}$

y = $51.4^{o}$

substitute the value of y in equation 1,

x + 3y = $180^{o}$

x + 3(51.4) = $180^{o}$

x + 154.2 = $180^{o}$

x = $180^{o}$ - 154.2

x = $25.8^{o}$

Thus, x = $25.8^{o}$ and y = $51.4^{o}$

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