You cannot measure it exactly, but there is a little-known method of approximating it.
You need to measure a distance of 3 inches from the vertex along each ray. Twenty times the length of the segment connecting these points is approximately the measure of the angle between the rays.
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the missing angle is 93 degrees. you find that out by adding 53 and 34 and then subtracting them from 180. :)
The supplement of a 75-degree angle is the angle that, when added to 75 degrees, equals 180 degrees (a straight line). To find the supplement of a given angle, you subtract the given angle from 180 degrees. Therefore, the supplement of a 75-degree angle is 105 degrees.
csc(74) = 1.0403 (rounded)
180 - 143 = 37 degrees