booniesssgoon
booniesssgoon booniesssgoon
  • 20-01-2022
  • Mathematics
contestada


ABCD is a parallelogram. Determine the measure of ZB.
A) 78°
B) 52°
C) 39°
D) 96°

ABCD is a parallelogram Determine the measure of ZB A 78 B 52 C 39 D 96 class=

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Аноним Аноним
  • 20-01-2022

[tex]\huge\fbox{Answer ☘}[/tex]

☆ given that ,

ABCD is a parallelogram

☆ we know that ,

opposite angles of a parallelogram are equal.

Therefore ,

[tex]\bold\blue{∠B \:= \:∠D}[/tex]

[tex]\pink{3x = x + 52} \\ \pink{3x - x = 52 }\\\pink{ 2x = 52 }\\\pink{ x = \frac{52}{2}} \\ \\ \bold\blue{x = 26}[/tex]

therefore , ∠B = 3x = 3 ( 26° ) = 78°

[tex]\fbox{∠B \: = \: 78°}[/tex]

thus option ( A ) is correct ~

hope helpful~

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zazaloudpack69
zazaloudpack69 zazaloudpack69
  • 20-01-2022
Answer is A due to 78° being zb
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