Question

If angle A and angle B are supplementary angles and angle A is nineteen times as large as angle ​B, find the measures of angle A and angle B.
Question content area bottom
Part 1
The measure of angle B is
  
enter your response heredegrees.
Part 2
The measure of angle A is
  
enter your response heredegrees.

Answer 1

Let B = x. Since A and B are supplementary and A = 19B,
19x + x = 180 → 20x = 180 → x = 9.

Part 1: The measure of angle B is 9 degrees.
Part 2: The measure of angle A is 19·9 = 171 degrees.