Answered

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Square ABCD has diagonals AC¯¯¯¯¯

and BD¯¯¯¯¯

. What is m∠ABD

A

180º

B

90º

C

45º

D

360º

Sagot :

Answer:

option (c)

Step-by-step 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,

[tex]\angle ABD = \dfrac{\angle ABC}{2}[/tex]

[tex]\angle ABC = 90^\circ[/tex]

[tex]\angle ABD = \dfrac{\angle ABC}{2}[/tex]

[tex]\angle ABD = \dfrac{90^\circ}{2}[/tex]

[tex]\angle ABD = 45^\circ[/tex]

Hence, option (c) is correct.

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