There is no easy way to do this one. Even if you were to use the half angle formula to get from 30° to 15° to 7.5°, the computations require the square roots of decimals that get difficult quickly.
This is one time that looking it up or using a calculator to find that it is 0.938 is the only reasonable way.
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This problem can be solved using the Sine Rule :a/sin A = b/sin B = c/sin C 10/sin 45 = AB/sin 75 : AB = 10sin 75 ÷ sin 45 = 13.66 units (2dp)
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.
An angle of 75 degrees is an acute angle
sin(35 deg) = 0.5736
A whole circle is 360 degrees so 75% of a circle is 270 degrees.