Complementary angles are two angles that add up to 90°
Therefore, let's call the unknown angle x
And the other angle is x+34.6
The expression can be written like this:
x+x+34.6=90
Subtract 34.6 from both sides.
x+x=55.4
Combine like terms
2x=55.4
Divide by 2 on both sides
55.4/2=27.7
So the unknown angle, x, is 27.7°
The other angle is 62.3° (27.7°+34.6°)