The entire rectangle is 4 square units because the two triangles on the top put together makes the same shape as the square in the middle, which makes it 1 square unit. And the two bigger triangles on the bottom can create two squares if you break them apart and rearrange them again. So all of those shapes put together equals 4 square units.
We know, point on a line segment which cut a line into the ratio m : n is given by :
![[(\dfrac{mx_1+nx_2}{m+n}),(\dfrac{my_1+ny_2}{m+n}) ]](https://tex.z-dn.net/?f=%5B%28%5Cdfrac%7Bmx_1%2Bnx_2%7D%7Bm%2Bn%7D%29%2C%28%5Cdfrac%7Bmy_1%2Bny_2%7D%7Bm%2Bn%7D%29%20%5D)
Putting value of point A and B and m =2 and n = 5 .
We get :
![[(\dfrac{2(2)+5(18)}{2+5}),(\dfrac{2(6)+5(12)}{2+5}) ]\\\\(\dfrac{94}{7},\dfrac{72}{7})](https://tex.z-dn.net/?f=%5B%28%5Cdfrac%7B2%282%29%2B5%2818%29%7D%7B2%2B5%7D%29%2C%28%5Cdfrac%7B2%286%29%2B5%2812%29%7D%7B2%2B5%7D%29%20%5D%5C%5C%5C%5C%28%5Cdfrac%7B94%7D%7B7%7D%2C%5Cdfrac%7B72%7D%7B7%7D%29)
Hence, this is the required solution.
Step-by-step explanation:
The two angles are consecutive exterior angles so their sum is 180° if the two lines are parallel. Therefore,


or

Answer:
6.4
Step-by-step explanation: