Find the value of x in the following quadrilateral.
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Answer:
see below
Step-by-step explanation:
Because the sum of all angles in a quadrilateral is 360° we have:
90 + 101 + 12x + 3 + 9x - 2 = 360
21x + 192 = 360
21x = 168
x = 8°
Answer:
The value of x is 8.
Step-by-step explanation:
Given that total angles in a quadrilateral is 360°. So in order to find x, you have to add up all the angles together to make it equals to 360° :
[tex]101 + 12x + 3 + 9x - 2 + 90 = 180[/tex]
[tex]192 + 21x = 360[/tex]
[tex]21x = 360 - 192[/tex]
[tex]21x = 168[/tex]
[tex]x = 168 \div 21[/tex]
[tex]x = 8[/tex]