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GuDViN [60]
3 years ago
8

How to find x and y using the triangle sum theorem

Mathematics
1 answer:
timurjin [86]3 years ago
7 0
Notice that x is part of the two triangles.for the bigger triangle
92+85+x=180
177+x=180
x=3
in the smaller triangle
y+100+x=180
since x=3
y+100+3=180
y=77
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Answer:

\frac{5}{4}+or-\frac{3i\sqrt{7} }{4}

Step-by-step explanation:

You can solve this equation with the quadratic formula which is:

m_{1,2}=\frac{-b+or-\sqrt{b^{2}-4ac } }{2a}

All you need to do is rearrange the equation (add -\frac{11}{2} to both sides and then multiply both sides by 2) to get:

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m_{1,2}=\frac{5+or-\sqrt{(-5)^{2}-4(2)(11) } }{2(2)}

That simplifies to:

\frac{5}{4}+or-\frac{\sqrt{25-88} }{4}

Which simplifies even further to:

\frac{5}{4}+or-\frac{\sqrt{-63} }{4}

Which gets you:

\frac{5}{4}+or-\frac{3i\sqrt{7} }{4}

P.S. The plus-minus sign wasn't working for me, so I had to just write, "+or-". I hope that didn't make it too confusing for you.

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