Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
1st July, 2023

Let BC be 1 unit.


a = 180-30-18

a = 132°

a is angle BDC.


(1/sin132) = (b/ sin18)

b = 0.41582338164 units.

b is BD.


c = 180-72

c = 108°

c is angle BAC.


(1/sin108) = (d/sin36)

d = 0.61803398875 units.

d is AB.


(AD)² = 0.61803398875²+0.41582338164²-2*0.61803398875*0.41582338164cos6

AD = 0.20905692653 units.


Calculating x.


(0.20905692653/sin6) = (0.41582338164/sinx)

x = 12°

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