Kind note:
It looks like part of the question has been cut. Since this question is incomplete, I will solve the measure of both angles.
Solution:
Note that:
- ∠1 + ∠2 = 90°
- ∠1 = (3x - 4)°
- ∠2 = (4x + 10)°
Using the above information, let's solve for x.
- ∠1 + ∠2 = 90°
- => (3x - 4) + (4x + 10) = 90°
- => 3x - 4 + 4x + 10 = 90°
- => 7x + 6 = 90°
- => 7x = 84
- => x = 12
Substitute the value of x into each equation to find ∠1 and ∠2.
- ∠1 = 3(12) - 4° = 36 - 4 = 32°
- ∠2 = 4(12) + 10° = 48 + 10 = 58°
Hoped this helped!
