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# Trianlges

+1
93
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Find the values of x, y, and z.

Apr 2, 2021

#1
+484
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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}\$.

Apr 2, 2021

#1
+484
+1

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}\$.