what is the angle

Geometry Level 2


The answer is 30.

Aly Ahmed by Aly Ahmed , 34, Egypt

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1 solution

?= 20 ° + tan ⁡ − 1 ( sin ⁡ 2 20 ° sin ⁡ 80 ° − sin ⁡ 20 ° cos ⁡ 20 ° ) = 30 ° 20\degree+\tan^{-1} \left (\dfrac{\sin^2 20\degree}{\sin 80\degree-\sin 20\degree\cos 20\degree}\right) =\boxed {30\degree} .

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