Question

Find the value of x in this polygon

127°
166°
93°
x°
76° 123°
113°

x=___

Answer 1

42

Explanation:

A pentagon has an internal sum of 540.

93+166+127+112+x=540

x=42

Answer 2

x = 90°

Explanation:

Polygon = 7 (Heptagon)

No of interior angles of polygon = (n-2)180°

(7-2)×180°

5×180°

=900°.

127°+166°+93°+76°+123°+113°+x °= 900°

810°+ x° = 900°

x °=900°-810°

x° =90°