One angle of a triangle measures 15 degrees less than twice the measure of a second angle. The third angle measures 33 degrees. Find the measure of the largest angle of the triangle.
+1224 We can write every angle in terms of the second angle. Also, we know that the angles in a triangle must add to 180 degrees.
(2x - 15) + x + 33 = 180
3x + 18 = 180
3x = 162
x = 54
The three angles's measures are 93 degrees, 54 degrees, and 33 degrees, respectively. The largest angle's measure is 93 degrees.
