Is it possible to construct a triangle with angles that measure 30°, 51°, and 99°?

1 Answer
May 30, 2018

Definitely!

Explanation:

Recall that the interior angles of a triangle sum up to #180# degrees. If we add the given values, we get

#30+51+99=color(blue)(180)# degrees

If we had something like

#33+57+120#

this would not be a triangle because we see the angles sum up to #210# degrees.

If we had something like

#11+29+116#

this also wouldn't be acceptable because the angles only sum to #156# degrees.

Hope this helps!