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Ilia_Sergeevich [38]
3 years ago
9

Find the value of x. Diagram not to scale

Mathematics
2 answers:
lara31 [8.8K]3 years ago
8 0
We first need to find the sum of the interior angles in a pentagon, which you do by doing (5 - 2) × 180, which equals 3 × 180 = 540°. Now you know that all of the angles inside the shape must add up to 540, so you can make an equation:
90 + 112 + 2x + 148 + 2x + 10 = 540
360 + 4x = 540
- 360
4x = 180
÷ 4
x = 45

I hope this helps!
erik [133]3 years ago
5 0
(5-2) * 180 =540
540= 2x+10 +2x+148+112+90 
540 4x+360
-360     -360 
180=4x
/4     /4        x=45

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Let's say x = full price tickets

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