Answer:
A = 125 degrees and C = 35 degrees
Step-by-step explanation:
Since angles A, B, and C are all part of a triangle, we know that they add up to 180 degrees (because all angles of a triangle add to 180). So:
A + B + C = 180
We know that A = 6x - 1, B = 20, and C = x + 14, so we can plug these into the equation and solve for x:
(6x - 1) + 20 + (x + 14) = 180
7x + 33 = 180
7x = 147
x = 21
We want to find A and C, so we plug x back in:
A = 6x - 1 = 6 * 21 - 1 = 125 degrees
C = x + 14 = 21 + 14 = 35 degrees
Thus, A = 125 degrees and C = 35 degrees.
Hope this helps!
