Question

Find the missing measure angle

Answer 1

`{x}^(o) = {102}^(o)`

Explanation:

Hint:

sum of angles = 360°

Simplify:

`{x}^(o) + {78}^(o) + {90}^(o) + {90}^(o) = {360}^(o) \\ {x }^(o) + 258^(o) = {360}^(o) \\ {x}^(o) = {360}^(o) - {258}^(o) \\ {x}^(o) = {102}^(o)`

Hope it is helpful....

Answer 2

Explanation:

x+90+90+78=360(sum of 4 angles is always 360 degree)

x+258=360

x=360-258

x=102