Answer/Step-by-step explanation:
A. The quadrilateral cam be named using the letters of the vertices. Thus, it is named as: quadrilateral LMNP
B. 82° + (3x - 1)° = 180° (adjacent angles are supplementary)
Solve for x
82 + 3x - 1 = 180
Add like terms
81 + 3x = 180
Subtract 81 from both sides
3x = 180 - 81
3x = 99
x = 99/3
x = 33
C. Opposite angles in a quadrilateral are equal. Therefore,
m<L = (3x - 1)°
Plug in the value of x
m<L = 3(33) - 1
m<L = 99 - 1
m<L = 98°
