Question

Quadrilateral ABCD is a square with diagonals that intersect at point E. Find measure of angle ADB.


A.11.25º
B.22.5º
C.45º
D.90º

Answer 1

The figure is a square.

Answer 2

correct

Answer 3

So what must be true of segs AD and AB?

Answer 4

they must be congruent

Answer 5

The are the same length is how I put it. So considering BAD as a triangle, what is true of the angles opposite sides that are equal?

Answer 6

they are also triangles

Answer 7

No. Angles are not triangles. What is true of the angle ABD and the angle ADB, considering side AB = side AD?

Answer 8

they are equal

Answer 9

And how many degrees are in a triangle?

Angle ADB and angle ABD are in the same triangle as angle DAB.

Answer 10

180

Answer 11

Angle ADB and angle ABD are in the same triangle as angle DAB.

Seeing a how this is a square, how many degrees in angle DAB?

Answer 12

90

Answer 13

So that leaves how many degrees for angle ADB and angle ABD?

Answer 14

270?

Answer 15

No. Angle ADB and angle ABD are in the same triangle as angle DAB. And you have said there are 180 degrees in a triangle.

Answer 16

okay so then it is 90 degrees

Answer 17

Yes, what is left is 90 degrees which has to be split between Angle ADB and angle ABD. We have determined they are equal, so it is split equally.

Answer 18

so then the answer is 45 degrees correct?

Answer 19

yes

Answer 20

yay thank you so much