Answer: 41 degrees
Work Shown
- x = measure of angle B
- x-16 = measure of angle A
- 2x-32 = measure of angle C
The three inside angles of any triangle always add to 180 degrees.
A + B + C = 180
(x-16) + (x) + (2x-32) = 180
4x - 48 = 180
4x = 180+48
4x = 228
x = 57 which is the measure of angle B
We can then find angle A
A = x-16 = 57-16 = 41 degrees is the final answer
Optionally you can use this x value to find angle C to get
C = 2x-32 = 2*57-32 = 82
Notice how A+B+C = 41+57+82 = 180 which helps confirm the answer.
