1. The difference between two given angles is 40°, and their sum is \(\frac{\pi}{2}\) radians. Find the radian measures of the two angles.

2. In a triangle, one angle is 60° and another angle is \(\frac{\pi}{6}\) radians. What is the measure of the third angle in degrees?

3. Find the value of \( \sin^2 18° + \sin^2 72° \).

(a) \(0\) (b) \(1\) (c) \(\cfrac{1}{2}\) (d) \(2\)

4. If the sum of two angles is 135° and their difference is \(\cfrac{\pi}{12}\), find the values of the two angles in degrees and radians.

5. In a right-angled triangle, if the difference between the two acute angles is 72°, find their measures in radians.

6. If the ratio of three consecutive angles of a cyclic quadrilateral is 1:2:3, find the first and third angles in radians.