Question

PLEASEEEE HELP PLEASEEEE

Answer 1

1 no the quadilateral is parallelogram

2 no .82+82+3x-1+3x-1=360

162+6x=360

6x=198

x=198/6

x=33

3 no angle L =3x-1(opposite angles of a parallelogram are equal)

3*33-1

99-1

98

Explanation:

Answer 2

A. Parallelogram LMNP

B. 33

C. 98°

Explanation:

LMNP is a parallelogram.

Adjacent angles of a parallelogram are Supplementary.

`\therefore 82\degree +(3x - 1)\degree =180\degree`

`\therefore (3x - 1+82)\degree =180\degree`

`\therefore (3x +81)\degree =180\degree`

`\therefore 3x +81 =180`

`\therefore 3x =180-81`

`\therefore 3x =99`

`\therefore x =(99)/(3)`

`\therefore x =33`

`\implies m\angle N= (3x - 1)\degree=(3*33 - 1)\degree=(99-1)\degree = 98\degree`

`\because m\angle L =m\angle N`

(Opposite angles of a parallelogram)

`\therefore m\angle L =98\degree`