Question 10
(a) Each interior angle of a regular polygon is 135. Find:
(i) the measure of each exterior angle.
(ii) number of sides of the polygon."
(iii) name of the polygon.
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Answer:
Step-by-step explanation:
(i) the measure of each exterior angle will be
180 - 135 = 45 degree
(ii) ATQ,
(n-2)×180/n = 135
180n - 360 = 135n
45n = 360
OR
measure of each exterior angle = 45.
therefore, number of sides will be
360/n = 370/45 =
(iii) _________________________
THE GIVEN POLYGON IS OCTAGON
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