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angles form a linear pair the addition of the angles is 180 degrees. The vertical angle conjecture is when 2

angles are vertical angles, and then both measure the same or are congruent. This way there are different

types of conjecture hypothesis like corresponding angles conjecture, alternate interior angle conjecture and

others. Conjecture geometry is useful for triangles, like SSS / ASA / SAS congruence conjectures. Even used

for quadrilateral/ pentagon/ polygon sum conjectures.

having angle between these sides C = 30 degrees.

Area of Triangle = (1/2 a b) sin C

Plugging in the values of a, b and C we get,

Area of Triangle = (1/2 x 4 x 8) sin 30

16 sin 30 = 16 x ½ (since sin 30 = ½)

8 cm^2

sides of the polygon are 5.

Interior angle = [(n - 2) x 180] / n

plugging in the values of n we get,

Interior angle = [(5 – 2) x 180] / 3

[(3) x 180] / 3