Question

The exterior angles of a triangle measure x + 3, 2x + 1, and 3x - 4. Find the measure of each exterior angle. A) 18°, 31°, and 41° B) 23°, 41°, and 56° C) 33°, 61°, and 86° D) 63°, 121°, and 176°

Answer 1

We know that, the sum of the exterior angles of a polygon is 360 i.e., (x+3) + (2x+1) +(3x-1) = 360 i.e., x+2x+3x+3+1-4 = 360 i.e., 6x = 360 Therefore, x = 60 Now, x+3 = 60+3 =63 2x+1 = 2*60 +1 =120 + 1 = 121 3x-4 = 3*60 - 4 = 180 - 4 = 176 The exterior angles are 63, 121 and 176