Answer:
1. KLP + PLM = 180 degrees (straight line)
2. 3x + angle PLM = 180 degrees
3. angle PLM = 180 - 3x
4. PMN = P + PLM (Exterior angle)
5. 2x + 72 = x + 180 - 3x
6. x = 27
Step-by-step explanation:
ngl i didnt really get this i i kinda have a some what idea on what this is
The exterior angles of the triangle added to their corresponding interior angles equal 180 degrees by virtue of the sum of angles on a straight line.
As such the interior angles are
1. 180 - (x+ 3)
2. 180 - (2x+ 1)
3. 180 - (3x - 4)
Given that the sum of angles in a triangle is 180 degrees
180 - (x+ 3) + 180 - (2x+ 1) + 180 - (3x - 4) = 180
540 - 6x = 180
6x = 540 - 180
6x = 360
x = 60
The exterior angles are
x + 3 = 60 + 3 = 63
2x + 1 = 2(60) + 1 = 121
and
3x - 4 = 3(60) - 4 = 180 - 4 = 176
