Answer
Angle 1 = 39°
Angle 2 = 51°
Step-by-step explanation
To solve this, we need to first express the relationship between sin and cos.
If Sin a = Cos b,
then, a + b = 90°
So for this question,
Sin (2x + 3) = Cos (x + 33)
From the explanation above, we know that
2x + 3° + x + 33° = 90°
2x + x + 3° + 33° = 90°
3x + 36° = 90°
3x = 90° - 36°
3x = 54°
Divide both sides by 3
(3x/3) = (54°/3)
x = 18°
So, we now find the two angles
Angle 1 = 2x + 3° = 2(18°) + 3° = 36° + 3° = 39°
Angle 2 = x + 33° = 18° + 33° = 51°
Hope this Helps!!!