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Find the values of x, y, and z.

 

 Apr 2, 2021

Best Answer 

 #1
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Using the sum of angles of a triangle formula on the leftmost triangle, we find that $36+63+x=180$. Solving gives $\boxed{x=81}$

 

Knowing now that $x=81$, we see that since $x$ and $z$ lie on the same line, $x+z=180$. We already know what $x$ is, so we have $81+z=180$. Solving gives $\boxed{z=99}$

 

Now using the sum of angles of a triangle formula again on the rightmost triangle, we find that $13+z+y=180$. But we already know what $z$ is! $z=99$! So we have $13+99+y=180$. Solving gives $\boxed{y=68}$.

 

FINAL ANSWERS: $\boxed{x=81, y=68, z=99}$

 Apr 2, 2021
 #1
avatar+485 
+1
Best Answer

Using the sum of angles of a triangle formula on the leftmost triangle, we find that $36+63+x=180$. Solving gives $\boxed{x=81}$

 

Knowing now that $x=81$, we see that since $x$ and $z$ lie on the same line, $x+z=180$. We already know what $x$ is, so we have $81+z=180$. Solving gives $\boxed{z=99}$

 

Now using the sum of angles of a triangle formula again on the rightmost triangle, we find that $13+z+y=180$. But we already know what $z$ is! $z=99$! So we have $13+99+y=180$. Solving gives $\boxed{y=68}$.

 

FINAL ANSWERS: $\boxed{x=81, y=68, z=99}$

RiemannIntegralzzz Apr 2, 2021

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