The value of x = 50
Exterior angle:
In geometry, an angle of a polygon is formed by two sides of the polygon that share an endpoint. For a simple (non-self-intersecting) polygon, regardless of whether it is convex or non-convex, this angle is called an interior angle (or internal angle) if a point within the angle is in the interior of the polygon. A polygon has exactly one internal angle per vertex.
If every internal angle of a simple polygon is less than π radians (180°), then the polygon is called convex.
In contrast, an exterior angle (also called an external angle or turning angle) is an angle formed by one side of a simple polygon and a line extended from an adjacent side.
given that
m∠6 = x
m∠7 = x-20
m∠11 = 80
we solve this by using exterior angles
sum of 2 interior angles is equal to one exterior angle
m∠6 + m ∠7 = m∠11
x + x - 20 = 80
2x = 80 + 20
2x = 100
x = 100/2
the value of x = 50
To learn more about exterior angle:
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