Question

find angle x in each figure
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Answer 1

Answer:

let the interior angle in the quadrilateral be y

y+90+140+60=360

y=360-290

y=70

now

x+y=180(Angles on a straight line)

x+70=180

x=180-70

x=110°

Answer 2

Answer:

x = 110°

Step-by-step explanation:

<A + <B + <C + <D = 360°

90° + 140° + 60° + <D = 360°

290° + <D = 360°

<D = (360 - 290)°

<D = 70°

By Linear Angle theorem -

x + <D = 180°

x + 70° = 180°

x = (180-70)°

x = 110°