The values of the three angles in the given triangle are; B = 14.583°;
A = 77.917°; C = 87.5°
<h3>What is the sum of angles in the triangle?</h3>
We are told that the measure of angle C is six times the measure of angle B. Thus, this can be expressed as;
C = 6B
We are told that 4 times angle A is 20 more than 20 times angle B. Thus, this can be expressed as;
4A = 20B + 20
Divide through by 4 to get;
A = 5B + 5
No, we know that sum of angles in a triangle is 180°. Thus;
5B + 5 + B + 6B = 180
12B + 5 = 180
12B = 180 - 5
12B = 175
B = 175/12
B = 14.583°
A = 5(175/12) + 5
A = 77.917°
C = 6 * 175/12
C = 87.5°
Read more about Angles in a triangle at; brainly.com/question/7620723
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