Step-by-step explanation:
angle S + angle W + angle STW = 180
(7x + 6) + (7x + 1) + angle STW = 180
So angle STW = 180 - (7x + 6) - (7x + 1)
angle STW + angle STP = 180 (straight angle = 180)
180 - (7x + 6) - (7x + 1) + angle STP = 180
angle STP = 180 - 180 + (7x + 6) + (7x + 1)
= 7x + 6 + 7x + 1
= 14x + 7
15x = 14x + 7
x = 7
angle STP = 15x = 15(7) = 105
BC = 8x
CD = 2x
BD = 10
BC + CD > BD
8x + 2x > 10
10x > 10
x > 1
BC + BD > CD
8x + 10 > 2x
8x - 2x > -10
6x > -10
x > -10/6
BD + CD > BC
10 + 2x > 8x
10 > 6x
x < 10/6
Thus x lies between 1 and 1.6
Def AC BD with an explanation
Log2 (32) = 5 ..................