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1. The values of the three angles in the given triangle are; B = 14.583°;

   A = 77.917°; C = 87.5°

   What is the sum of angles in the triangle?

   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; https://brainly.com/question/7620723

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