Answer:
The answer is 1: 50000... If you look down here↓:
Step-by-step explanation:
With a scale of 1:20000, a unit length on the map represents a length of 20000. So 1 cm^2 = 1 cm* 1 cm which represents 20000*20000 cm^2 will be = 4*10^8 cm^2.
50 cm^2 represents that 4*50*10^8 cm^2 = 200* 10^8 cm^2.
Now, on the other hand, the map has the same. 200* 10^8 is represented by 8 cm^2. So the scale is sqrt [ 200* 10^8 / 8 ] = sqrt [ 25* 10^8 ] = 5* 10^4 = 50000.
Therefore the scale on the second map is 1: 50000.
There are 180 degrees in a triangle and if two of them are the same we can call them both a:
a + a + b = 180
2a + b = 180
Next, b is 12 degrees less than a so:
a - 12 = b
2a + a - 12 = 180
3a - 12 = 180
Add 12 to both sides
3a = 192
Find a:
a = 192 / 3
a = 64
This means angle 1 and angle 2 are equal to 64 degrees and angle 3 is 52 degrees
To check:
64 + 64 + 52 = 180 degrees
