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2 years ago

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

Mathematics

2 answers:

vovikov84 [41]2 years ago

8 0

$\huge\fbox{Answer ☘}$

☆ given that ,

ABCD is a parallelogram

☆ we know that ,

opposite angles of a parallelogram are equal.

Therefore ,

$\bold\blue{∠B \:= \:∠D}$

$\pink{3x = x + 52} \\ \pink{3x - x = 52 }\\\pink{ 2x = 52 }\\\pink{ x = \frac{52}{2}} \\ \\ \bold\blue{x = 26}$

therefore , ∠B = 3x = 3 ( 26° ) = 78°

$\fbox{∠B \: = \: 78°}$

thus option ( A ) is correct ~

hope helpful~

alexandr1967 [171]2 years ago

5 0

Answer is A due to 78° being zb

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