Which statements are true about parallelogram LMNO? Select all that apply. (You can choose more than one)

[] x = 11
[] m∠L = 22°
[] m∠M = 111°
[] m∠N = 59°
[] m∠O = 121°

Which statements are true about parallelogram LMNO Select all that apply You can choose more than one x 11 mL 22 mM 111 mN 59 mO 121 class=

Respuesta :

11x+6x - 7 = 180
17x = 187
x = 11

m<L = 6x - 7 = 6(11) - 7 = 66 -7 = 59
m<M = 11x = 11(11) = 121
m<N = m<L = 59
m<O = m<M = 121

answer
x = 11
m∠N = 59°
m∠O = 121°

The statements true about parallelogram LMNO are following

The correct options are as follows

x= 11°

m∠ N =59°

m∠O = 121°

We have to determine that which statements are true about parallelogram LMNO and we have select all that apply.

In the parallelogram LMNO we can write from the properties of parallelogram that the adjacent angles of the parallelogram add up to 180°

∠ LMN + ∠ONM = 180°

[tex]\rm 11x + (6x-7) = 180 \\17x = 187 \\x =11\textdegree[/tex]

From the observations we can write

∠ LMN = m∠ M =  [tex]11\times 11= 121\textdegree[/tex]

∠ MNO =m∠ N [tex]=6 \times 11-7 = 59\textdegree[/tex]

∠ LON =m∠ O =121°

∠ OLM = m∠ L = 59°

Out of the given options the correct options are as follows

x= 11°

m∠ N =59°

m∠O = 121°

So the statements  true about parallelogram LMNO are following

The correct options are as follows

x= 11°

m∠ N =59°

m∠O = 121°

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