Question

Find the value of the unknown angle in the given quadrilateral.​

Answer 1

Step-by-step explanation:

$x = 180 - 120 = 60. \\ y = 180 - 80 = 100.z = 180 - 60 = 120. \\ and \: \: n = 360 - 120 + 80 + 60 \\ 100 \\ and \: w = 180 - 100 = 80$

Answer 2

$= > \: \: z + 60 = 180 \\ \\ z = 180 - 60 \\ \\ z = 120 \\ \\ = > \: \: y + 80 = 180 \\ \\ y = 180 - 80 \\ \\ y = 100 \\ \\ = > \: \: x + 120 = 180 \\ \\ x = 180 - 120 \\ \\ x = 60 \\ \\ = > as \: \: we \: \: know \: \: \: \: \\ \\ the \: \: degree \: \: of \: \: whole \: \: Quadrilateral \: \: = 360 \\ \\ 60 + 80 + 120 + n = 360 \\ \\ 260 + n = 360 \\ \\ n = 360 - 260 \\ \\ n = 100 \\ \\ = > n + w = 180 \\ \\ 100 + w = 180 \\ \\ w = 180 - 100 \\ \\ w = 80$

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