Question

Square ABCD has diagonals AC¯¯¯¯¯

and BD¯¯¯¯¯

. What is m∠ABD

A

180º

B

90º

C

45º

D

360º

Answer 1

option (c)

Explanation:

Given,

ABCD is a square.

AC and BD are diagonals

We know that,

Sides of the square make 90 degrees with each other.

And Diagonals bisect the opposite angles of the square.

Now,

`\angle ABD = (\angle ABC)/(2)`

`\angle ABC = 90^\circ`

`\angle ABD = (\angle ABC)/(2)`

`\angle ABD = (90^\circ)/(2)`

`\angle ABD = 45^\circ`

Hence, option (c) is correct.