Question

find the angle measure x in Figure ​

Answer 1

Step-by-step explanation:

in the figure let the linear pair of 50 degrees be angle 1

$angle \: 1 = 180 - 50 = 130$

let the linear pair of 70 degrees be angle 2

$angle \: 2 = 180 - 70 = 110$

sum of all angles of a pentagon is 540

hence

$angle1 + angle2 + 80 + 80 + x= 540 \\ 130 + 110 + 160 + x = 540 \\ x = 540 - 400 = 140$

$x = 180 - 140 \: (linear \: pair) \\ x = 40$

Therefore X=40