Is it possible to find angles and length of woods?

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With respect to the picture below, is it possible to find the angles and the length of the wooden bars, if we have no further information? Any hint or clue would be appreciated.

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As mentioned in my comment: Assuming that the $25$cm top bar is centered over the parallel $40$cm bottom bar, ...

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$$\tan\theta = \frac{239/2}{(40+25)/2} = \frac{239}{65} \quad\to\quad \theta = \operatorname{atan}\frac{239}{65} = 74.785\ldots^\circ$$

$$L = \sqrt{\left(\frac{239}{2}\right)^2+\left(\frac{40+25}{2}\right)^2} = \frac{1}{2}\sqrt{239^2+65^2} = 123.841\ldots$$

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If the lamp is exactly right above the midpoint of the base, then the angle is about $74.785°$ and the longer and shorter pieces are $76.21$ and $47.63$ respectively. enter image description here