Respuesta :

we have <D = (7x-1)°   ,    <A =(5x+25)°

{ all angles of square is equal to 90° }

<A  + <D  = 180°

5x + 25 +  7x -  1   = 180°

12 x    = 180   -  24

12x   =   156

x =   13

<A =  (5*13 +25)   =   90

< D  =  ( 7*13-1)      =     90

so ABCD is a square


alinakincsem

Answer:

Square

Step-by-step explanation:

We know that the given figure ABCD is a rhombus.

Apparently, the figure ABDC looks like a square so let us check whether it is a square or not.

We know that square has four angles, each of 90°, so two angles will be equal to 180°.

So, [tex](5x+25)+(7x-7) = 180[/tex]

[tex]5x+7x= 180-25+1[/tex]

[tex]12x=156[/tex]

[tex]x= 13[/tex]

Putting the value of x in ∠A and ∠D to check:

∠A = 5x + 25 = 5(13) + 25 = 90°

and

∠D = 7x - 1 = 7(13) - 1 = 90°

Therefore, figure ABCD can be termed as a square.

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