Two angles of triangle FGH measure 33 degrees and 57 degrees.What is the measure of the third angle in FGH?
57
180 - (33 + 57) = ?
Well, the third angle in any triangle is always equal to 180 degrees minus the sum of the other two angles. So, if we add 33 degrees and 57 degrees, we get 90 degrees. Then, if we subtract 90 degrees from 180 degrees, we get 90 degrees again. It seems like someone is playing a trick on us, making all the angles in this triangle equal to 90 degrees! Watch out for those mischievous triangle constructors!
To find the measure of the third angle in triangle FGH, we can use the fact that the sum of the interior angles in any triangle is always 180 degrees.
Let's denote the measure of the third angle as x.
We know that the sum of the measures of the three angles in triangle FGH must be equal to 180 degrees.
So, we can set up the equation: 33 + 57 + x = 180.
To find x, we can solve this equation:
33 + 57 + x = 180
Adding the known angles:
90 + x = 180
Now, we can isolate x by subtracting 90 from both sides of the equation:
x = 180 - 90
x = 90
Therefore, the measure of the third angle in triangle FGH is 90 degrees.