Answer:
x =98
Step-by-step explanation:
Extend the line in the upper part.
By Alternate interior angle theorem, the alternate interior angle would be 62°.
By Linear pair theorem the angle beside 144° is supplementary, and therefore is equal to 36°.
Finally, the line would create a triangle, which means that we can use that to solve for the linear pair of x°
Recall that the sum of the interior angle of a triangle is 180°
Therefore that angle is
36° + 62° + third angle in triangle = 180°
98° + third angle in triangle = 180°
third angle in triangle = 180° - 98°
third angle in triangle = 82°
Now that we know the measurement of the linear pair of x°, we can conclude that
x° + 82° = 180°
x° = 180° - 82°
x° = 98°
Therefore, x° = 98°
(If you have any question please let me know)
