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Angle of contact is the angle between a tangent to the liquid surface at the interface and the solid surface inside the liquid. For concave surfaces, it is acute . For convex surface , it is obtuse.
There are many ways to measure a contact angle, but the simplest way is to use a goniometer. The image of the droplet is taken with a high resolution camera; the angle can then be measured using a protractor.
It is a right angle
The angle of rotation of the balance in which the roller pin is in contact with the pallet forks.
An acute angle