Answer:
∠1 = 37°
∠2 = 127°
∠3 = 23°
Step-by-step explanation:
From the picture, we can see the following....
∠1 + 90° + 53° = 180°
From this we now that...
∠1 = 180° - 90° - 53°
∠1 = 37°
Also, we can see that...
∠1 + ∠3 + 90° + 30° = 180°
Substatute ∠1 and then find ∠3
∠1 + ∠3 + 90° + 30° = 180°
37° + ∠3 + 90° + 30° = 180°
∠3 = 180° - 90° - 30° - 37°
∠3 = 23°
And the last thing we can see is that...
∠2 + 53° = 180°
∠2 = 180° - 53°
∠2 = 127°
So ...
∠1 = 37°
∠2 = 127°
∠3 = 23°
