Answer:
x = 106°
Explanation:
Using the angle marked 110° as my starting point,
One can use angles on a straight line sum up to 180° to find the angle that adds up to 110° which makes it 180,
thus 70°.
moving on,
tackling with the angle marked 40°, Using the fact that angles on a straight line sum up to 180°, the angle obtained will be 140° (40° + a = 180, a = 180° -40°, a = 140°)
Using the angle marked 104°, Just like the previous one Using the principle that angles on a straight line sums up to 180°, then the unknown angle will be 76°.
Finding all the other interior angles angles in the quadrilateral except the angle in line with the x,
the next step to take is to add up all the angles Using any variable and equate it to 360°
why? angles in this type of quadrilateral equals 360,
That is,
140° + 76° + 70° + y = 360
286 + y= 360
y = 360 - 286
y = 74
The final step now is to use the principle, ( angles on a straight line sums up to 180)
74° + x = 180
x = 180 - 74
x = 106°