AB is a straight line and a point P lies on it. PC and PD are two rays on the same side of AB such that ray PC lies between rays PB and PD. If ∠APD = 80° and the angles CPD and BPC are in the ratio of 2 : 3, then 3∠CPD + 2∠BPC is equal to:

In a geometric figure, parallel lines AB || CD and CD || EF are given. If ∠AJI = 129°, ∠EFD = 37°, and line DF is parallel to line CH, then find the measure of ∠GCI.

Two supplementary angles are in the ratio 1 : 2. Calculate the measure of the smaller angle.

Two complementary angles differ by 8°. Find the angles.