Question

given the angle a=75 degrees and 18', calculate the size of the angle b, supplementary to a. Then determine the measure of the sum of a with one of the two angles formed by the bisector of the angle b

Answer 1

The size of angle b, supplementary to a, is 105 degrees and 18'. The measure of the sum of a with one of the two angles formed by the bisector of the angle b is 150 degrees. This can be determined using the fact that Supplementary angles add up to 180 degrees and that the angle formed by the bisector is equal to half of b (105 degrees and 18'/2 = 52.5 degrees and 9'). Therefore, a + (bisector of b) = 75 degrees and 18' + 52.5 degrees and 9' = 150 degrees.