Measure of two unknown angles.
the sum of the remaining angles.
(i) 50 right angles (ii) 1800°.
12. Is it possible to have a regular polygon if each interior angle is 110°?
SUM OF THE MEASURES OF THE EXTERIOR ANGLES OF A PO
Let n sides of a convex polygon be produced in order.
Then at each vertex of the polygon, sum of the interior angle and exterior ang
= 180º = 2rt. Zs
n interior Zs + n exterior Zs = 2n rt. Zs
(2n - 4) rt. Zs +n exterior Zs = 2n rt. Zs
in exterior Zs = [2n - (2n - 4)] rt. Zs = 4 rt. Zs
Hence, the sum of the exterior angles of a polygon is always 360°, whatever
number of sides.
..
7. Prove that the angle contained by the bisectors of any two consecutive angles of a qu
8. Find each angle of a pentagon if its angles are in the ratio of 1:2:3:5:9.
9. Find the sum of the degree measures of the interior angles of (i) a hexagon (ii) an
10. The interior angle of a regular polygon is 156º. Find the number of sides of the po
11. Find the number of sides a polygon has if the sum of the measures of the interior
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