Find the value of x in each of the following quadrilaterals.Please answer correctly while showing working

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reinhard10158 reinhard10158 · Answer 1 · 2021-09-21T12:26:26+02:00

Step-by-step explanation:

the sum of all angles in a quadrilateral is 360 degrees (think also about squares and rectangles with 4×90 degrees).

so, all we need to do is find the missing degrees when adding up all known angles.

i)

50 + 110 + 120 = 280

360 - 280 = 80 degrees = x

ii)

70 + 120 + 90 = 280 (when the external angle is 90 degrees, then also the internal angle is 90 degrees)

360 - 280 = 80 degrees = x

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Hi1315 Hi1315 · Answer 2 · 2021-09-21T12:29:47+02:00

Answer:

[tex]1)x = 70 \degree \\ 2)x = 80 \degree[/tex]

Step-by-step explanation:

Sum of the interior angles of quadrilateral is 360°

lets solve now

[tex]1)12 0+ 110 + 60 + x = 360 \\ 290 + x = 360 \\ x = 360 - 290 \\ x = 70 \degree[/tex]

[tex]2)120 + 70 + 90 + x = 360 \\ 280 + x = 360 \\ x = 360 - 280 \\ x = 80 \degree[/tex]

hope this helps you.

let me know if you have another questions :-)

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