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Answer:
<em>The measures of angles A, B, and C are respectively 21°, 125°, and 34°</em>
Step-by-step explanation:
<u>Equations</u>
We are given some conditions applying to the internal angles on a triangle ABC.
The measure of angle A is 13 less than the measure of angle C.
The measure of angle B is 11 less than 4 times the measure of angle C
Let x = measure of angle C
The first conditions states:
The second conditions states:
The sum of all angles must be 180°, thus:
Simplifying:
6x -24 = 180
Adding 24:
6x = 204
Dividing by 6:
x = 204/6
x = 34
The measures of angles A, B, and C are respectively 21°, 125°, and 34°