crybabyyy7629 crybabyyy7629
  • 30-03-2021
  • Mathematics
contestada

Quadrilateral ABCD is a parallelogram with < BCA= 50 , < DCA=60, find value of

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 01-04-2021

Answer:

[tex]ADC = 70[/tex]

Step-by-step explanation:

Given

[tex]BCA = 50[/tex]

[tex]DCA = 60[/tex]

See attachment for parallelogram and complete question

Required

Find ADC

From the attachment:

[tex]BCD = BCA + DCA[/tex]

[tex]BCD = 50+60[/tex]

[tex]BCD = 110[/tex]

Adjacent angles add up to 180.

So:

[tex]ADC + BCD = 180[/tex]

[tex]ADC = 180-BCD[/tex]

[tex]ADC = 180-110[/tex]

[tex]ADC = 70[/tex]

Ver imagen MrRoyal
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