Please Help with Math Question

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1

<p><a href="http://i1138.photobucket.com/albums/n523/FUAAARK/Math%20Problems/Problem_16.png%5B/url%5D"&gt;http://i1138.photobucket.com/albums/n523/FUAAARK/Math%20Problems/Problem_16.png&lt;/a>
In the figure above, y + z =</p>

<p>The answer is 245, but idk how to get it</p>

2

<p>bump for answer</p>

3

<p>is it 245?</p>

4

<p>Yes, idk how to get i tho</p>

5

<p>(180-y)+(180-Z) + 65= 180</p>

<p>65 is got by
180-115 because of vertical angles. </p>

<p>then just solve the equation </p>

<p>sorry not good at explaining…</p>

6

<p>By the Polygon Exterior Angle Sum Theorem, 115 + y + z = 360.
Subtract 115 from both sides of the equation.
y + z = 245 degrees</p>

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<p><a href=“http://i252.■■■■■■■■■■■■■■■/albums/hh17/xxEliza321xx/Photoon2011-09-09at2308.jpg[/url]”>http://i252.■■■■■■■■■■■■■■■/albums/hh17/xxEliza321xx/Photoon2011-09-09at2308.jpg&lt;/a&gt;&lt;/p&gt;

<p>This is EXACTLY how I did it. The angles of the triangle say ‘‘65’’, ‘‘180-y’’, and ‘‘180-z’’. Hope I helped!</p>

8

<p>Alternate solution:</p>

<p>Label “a” for the interior angle adjacent to the 115 degree angle.
Label “b” fpr the interior angle adjacent to the y angle.
Label “c” for the interior angle adjacent to the z angle.</p>

<p>By supplementary angles,
a + 115 = 180
b + y = 180
c + z = 180</p>

<p>Add all three equations together.
a + b + c + y + z + 115 = 540</p>

<p>Since angles a, b, and c form the interior angles of a triangle,
a + b + c = 180</p>

<p>By substitution of a + b + c = 180,
180 + y + z + 115 = 540
y + z = 245</p>