Answer:
∠ I = 39°, ∠ J = 51°, ∠ K = 90°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the3 angles and equate to 180
3x + 21 + 5x + 21 + 90 = 180, that is
8x + 132 = 180 ( subtract 132 from both sides )
8x = 48 ( divide both sides by 8 )
x = 6
Then
∠ I = 3x + 21 = 3(6) + 21 = 18 + 21 = 39°
∠ J = 5x + 21 = 5(6) + 21 = 30 + 21 = 51°
∠ K = 90°
