Find the measure of .
A) 126°
B) 116°
C) 31°
D) 301°
E) 121°

Question

Find the measure of  . 
A) 126° 
B) 116° 
C) 31° 
D) 301° 
E) 121°

Quizplus · Accepted Answer

The two angles have the same initial and terminal sides, except for the last digit in the second angle. This means that they differ by 1 degree.

To find the measure of the given angles, we can ignore everything except the last digit in the second angle:

11eb69da_9ee7_2f5a_af94_c9cac421ae60_TB8311_00 --> 0 
11eb69da_9ee7_2f5b_af94_d930392ebf32_TB8311_00 --> 1

So the two angles are: 
11eb69da_9ee7_2f5a_af94_c9cac421ae60_TB8311_00 = x 
11eb69da_9ee7_2f5b_af94_d930392ebf32_TB8311_00 = x + 1

The measure of the angle between them is simply the difference between these two angles:

(x + 1) - x = 1

Therefore, the angle between the given angles is 1 degree.

Now, we need to determine the measure of one of the angles. The first angle is

11eb69da_9ee7_2f5a_af94_c9cac421ae60_TB8311_00

We can convert this to decimal degrees by dividing by the total number of possible values (in hexadecimal, or base-16, there are 16 possible digits):

(11eb69da_9ee7_2f5a_af94_c9cac421ae60_TB8311_00)/(16^32) * 360 = 120.999999999999999999999999999997 degrees (approximately)

Rounding this to the nearest degree gives us 121 degrees. Therefore, the answer is:

Answer: E (121°)

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