Polygons

Question 7: In diagram below, PQRSTU is a hexagon. UPE, PQF, QRG, RSH and UTJ are straight lines. Find the value of x. Solution: Sum of all the exterior angles of any polygon= 360 o 25 o +3 x o +2 x o + 40 o + 75 o + 55 o = 360 o 5 x o + 195 o = 360 … Read more

Question 4: In the diagram below, KLMNP is a regular pentagon. LKS and MNQ are straight lines. Find the value of x + y.   Solution: Size of each interior angle of a regular pentagon = ( 5 − 2 ) × 180 o 5 = 108 o ∠ P K S = ∠ P N … Read more

4.2.1 Polygons, PT3 Practice Question 1: Diagram below shows a pentagon PQRST. TPU and RSV are straight lines. Find the value of x. Solution: Sum of interior angles of a pentagon =( 5−2 )× 180 o =3× 180 o = 540 o ∠TSR= 180 o − 70 o   = 110 o ∠TPQ= 180 o − 85 o   = 95 o x o = … Read more

4.1 Polygons   4.1.1 Regular Polygons 1.  A regular polygon is a polygon where (a) all its sides are of equal length, and (b) all its interior angles are of equal size. 2. The number of axis of symmetry of a regular polygon is equal to its number of sides. Example: 4.1.2 Exterior and Interior Angles of … Read more