Supplementary angles add up to 180°.
and we know that one angle is 62 less than the other.
so we know that one angle is n, and the other is n-62.
so we know:
angle 1 = n and angle 2 = n-62
and they both add up to 180, so we can make the equation:
n+ (n-62) = 180
simplify:
2n-62 = 180
2n = 242
n = 121
so we know the first angle is 121,
and if the second one is 62 less than 121:
121 - 62 = 59
The two angles are 121°, and 59°
and they both add up to 180°