2x+38=180
2x=142 (or x+x=142 from which 2x=142)
x=71
The unknown angles are each 71
You know this answer is logical as, since two sides are 21 it hints that we are looking at an equilateral triangle, which means two of its angles will be the same
The ratio of areas is the square of the ratio of linear dimensions. The smaller area is
.. (27 in^2)*(8/12)^2 = 27*(4/9) in^2 = 12 in^2
11.25 inches. Divide 1800 by 160 and get your answer
We know the area of a small square is 24 in².
Assuming the small rectangles are all equal in area, the total area of the window is equal to 6 x 24 = 144 in².
Now looking at the big window, the total area = width x length so:
144 = 18 x width
width = 144 ÷ 18 = 8 in