Determine the angle: a) 6/7 is 12 degrees b) 9/11 is 18 degrees

In both problems, we will use the proportion in order to determine the value of the desired angle.

a) T. to. 6/7 angles are 12 degrees, then the entire angle (ie 1) is x degrees. Based on this, we will compose the proportion:

6/7 is 12o;
1 is xo.

Then:

x = 1 * 12: 6/7 = 12 * 7/6 = (12 * 7) / 6 = 2 * 7 = 14o.

b) We reason in a similar way and obtain the following:

9/11 is 18o;
1 is xo.

Then:

x = 1 * 18: 9/11 – 18 * 11/9 = (18 * 11) / 9 = (2 * 9 * 11) / 9 = 2 * 11 = 22o.

Answer: a) 14o; b) 22o.