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Dmitry_Shevchenko [17]
2 years ago
15

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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