why angles of a hexagon are 122 degree 95 degree 80 degree 135 degree and 125 degree find the sixth angle

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Given:122°,95°,80°,135°and125°.Need to find:sixth angleof hexagon.Solution:« Let us consider that, the sixth angle of hexagon be ‘

x‘.We know that, if we are given with the five angles of a hexagon, we have the required statement, that is,

720°.«

Plugging all the given angles in thestatement, we get:→ 122 + 95 + 80 + 135 + 125 + x = 720

→ 217 + 80 + 135 + 125 + x = 720

→ 297 + 135 + 125 + x = 720

→ 432 + 125 + x = 720

→ 557 + x = 720

→ x = 720 – 557

→

x = 163.∴ The sixth angle of a hexagon is

163°.Given:-A hexagon with angle 122,95,80,135,125

To Find :-Sixth angle

Solution :-HexagonIt is a six sided polygon. It is a closed polygon. The sum of all angles in a hexagon is 720. Hexa means six and gon means side[tex] \sf 122 + 95 + 80 + 135 + 125 + y =720 [/tex]

[tex] \sf 217 + 215 + 125 + y = 720 [/tex]

[tex] \sf432 + 125 + y = 720 [/tex]

[tex] \sf 557 + y =720[/tex]

[tex]\sf y = 720 – 557[/tex]

[tex]\star \sf y = 163^{ \circ}[/tex]

Verification

122 + 95 + 80 + 135 + 125 + y =720

122 + 95 + 80 + 135 + 125 + 163 = 720

217 + 215 + 288 = 720

432 + 288 = 720

720 = 720

Hence verified