Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
14th November, 2023

Let the base of the quadrilateral be 1 unit.


a = 180-24-48-30

a = 78°


(1/sin24) = (b/sin78)

b = 2.4048671724 units.


c = 180-48-24-42

c = 66°


(2.4048671724/sin66) = (d/sin66)

d = 2.4048671724 units.


e² = 2.4048671724²+1²-2*2.4048671724cos30

e = 1.6180339888 units.


(1.6180339888/sin30) = (1/sinx)

Where x is the angle we are are calculating.


It implies;

x = 17.9999999997°

x = 18°

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