Answer:
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Step-by-step explanation:
Answer:
∠3 = 18°
∠4 = 144°
∠2 = 36°
∠1 = 72°
Step-by-step explanation:
From the concept of alternate interior angles,
∠3 = 18°
Since the diagonal divides the rectangle into 4 parts with 2 of the rectangles being similar.
Then, the triangle with ∠3 & ∠4 is an Isosceles triangle and as such;
∠4 = 180 - 2(∠3)
∠4 = 180 - 2(18)
∠4 = 180 - 36
∠4 = 144°
∠2 = 180 - ∠4 (because sum of angles on a straight line is 180°)
∠2 = 180 - 144
∠2 = 36°
Like it was done for angle ∠4 above;
∠1 = (180 - 36)/2
∠1 = 144/2
∠1 = 72°
Answer:
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Step-by-step explanation:
if thats not what you want then you gotta elaborate
Let the width be : x
length : (2x - 6)
(2x - 6) (x) = 2x square - 6x
2x square - 6x = 140
2x square - 6x - 140 = 0
if you use the cross method or calculator you’ll get :
( x - 10 ) ( x + 7) = 0
x = 10 or x = -7 ( reject because negative )
so we use x = 10.
width = 10
length = 2(10) - 6 = 14
2(x-2)+(x+3)
=(2x-4)+(x+3)
=2x-4+x+3
=3x-1