On a blueprint, the scale indicates that 6 cm represent 15 feet. what is the length of a room that is 9 cm long and 4 cm wide on the blueprint?

Use a ratio to solve.
6cm = 15ft so
9 cm = x ft

6/15 = 9/x
cross multiply
15(9) = 6x
135 = 6x
divide both sides by 6
x = 22.5 ft

6/15 = 4/x
cross multiply
15(4) = 6x
60 = 6x
divide both sides by 6
x = 10 ft
Length = 22.5 ft and width = 10 ft

Where are the calculations?

In the first triangle 80+20+p=180 (since sum of all angles of a triangle is 180)so p= 80also in second triangle 55+45+q=180 (since sum of all angles of a triangle is 180)so q=80so we can conclude that p=80 degrees q=80 degrees so p=q=80 degreeshence option b is correct