Answer:
B = 65°
Step-by-step explanation:
Two "supplementary" angles add up to 180 degrees.
Therefore:
A + B = 180
(3x - 17) + (2x - 23) = 180
"Combine like terms" on the left side: the Xs and the numbers.
3x + 2x - 17 - 23 = 180
5x - 40 = 180
Add 40 to both sides:
5x = 220
And divide 5 on both sides:
x = 44
But we're looking for B, which is
(2x - 23) = 2(44) - 23 = 88 - 23 = 65
B = 65°
