Math, asked by tyson55, 11 months ago

In a quadrilateral if angles are arranged in ascending order then each next angle becomes twice the first. Find the least angle of the quadrilateral.

Answers

Answered by ridakhatri
7
I'm assuming that each angle becomes twice of the preceding angle otherwise this question doesn't make sense. So to set up that equation, if you take "x" as the least angle. then:

x + 2x + 2(2x) + 2(2(2x)) = 360

Each value is twice that of the previous value. So now when you solve,

x + 2x + 2(2x) + 2(2(2x)) = 360
x + 2x + 4x + 8x =360
15x = 360
x = 360/15
x= 24°
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