Answer:
m∠1 = 24°
m∠3 = 66°
m∠6 = 66°
Step-by-step explanation:
They are all near the corners of the rectangle
The corners always equal 90°
But as you can see, they are split down the middle by the X in the rectangle and we have only one angle to go off of; 24°
Since m∠1 is in the same triangle as that angle, and it looks exactly the same, the angle is exactly the same.
m∠3 and m∠6, if you look closely, are also the same. And as I said before, the corners always are 90°. Since 24° is taken from the neighboring triangle, the amount left is 66°, and remember, 24° + x° HAS to equal EXACTLY 90°. So
90 - 24 = 66
So both m∠3 and m∠6 = 66°
