I need help! ABCD is a rectangle.

m<1 =
m<6 =
m<3 =

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°