Answer:
75
Explanation:
You want to know the measure of the angle marked x° in the hexagon shown in the figure.
Angles
The sum of the measures of the angles of a hexagon is 180°(6 -2) = 720°.
The value of x can be found by subtracting the known angles from that sum:
x° = 720° -90° -158° -123° -167° -107° = 75°
The value of x is 75.
__
Additional comment
The sum of interior angles of a convex n-gon is (n -2)·180°. For this hexagon, that is (6 -2)·180° = 720°.
Related to this is the fact that the sum of exterior angles is 360° for an convex polygon.
<95141404393>