What part of a right angle is an angle of 1 degree 10 degrees to what is one half of a flat angle?

The right angle is ninety degrees.

Let us express the required part, in the first case, through q and compose the proportion:

90 ° – 1,

1 ° – q.

q = 1 * 1: 90;

q = 1: 90;

q = 1/90 part – from the right angle is one degree.

Let us express the required part, in the second case, through r and compose the proportion:

90 ° – 1,

10 ° – r.

r = 10 * 1: 90;

r = 10: 90;

r = 10/90 = 1/9 of the right angle is ten degrees.

The unfolded angle is one hundred and eighty degrees.

Let us express the required angle in terms of k and compose the proportion:

180 ° – 1,

k – 1/2.

k = 180 * 1/2: 1;

k = 90 ° – is one second of the expanded angle.