If two angles are both vertical and supplementary, can we determine the angles? Is it possible to be both vertical and complementary? If so, can you determine the angles? Explain how you know.

Given :-

Elsie is planning a rectangular section of grass if the perimeter of the rectangle is 96 ft .

To find :-

what is the length and width of the rectangular section the width is 6x - 15 and the length is x .

Solution :-

According to Question :-

l = x b = 6x - 15

Using formula of perimeter :-

P = 2(l + b) 96ft = 2(x + 6x -15)96 = 14x - 30 14x = 96 + 30 14x = 126 x = 9 ft

Hence

l = x = 9ft b = 6x - 15 = 39ft