Find the unknown angle #maths #math

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Find the unknown angle #maths #math

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Nice one. There is a solution that can give the angle by without resorting to Tan and arc Tan or any trigonometric formula. It starts by taking a perpendicular to the line, making 60 degrees with the bottom line and passing by the point edge of the unknown angle . And you start building up from there, determining isolece triangles and equal angles, etc. And you will arrive at the desired angle of 75 degrees.

AnwarKatrib
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Nice 👍
Other solution ( by m, n theorem of trigonometry)
(m+n) cot t = n cot B - m cot C
here t = 120°, B = ?, C = 45°
m = 2, n= 1
3 cot 120 = cot B - 2 cot 45
cot B = 2 - √3
hence B = 75°

raghvendrasingh