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tatyana61 [14]
3 years ago
9

PLEASSS HELP!!!!!!! I REALLY NEED HELP!!

Mathematics
1 answer:
loris [4]3 years ago
6 0

Answer:

\underline{ \boxed{x = 11} } \\ \underline{ \boxed{ABE = 55}}

Step-by-step explanation:

if \: the \: question \: is \to \\  \overline{AZ} \: \perp \: \overline{CD}, \: m \angle{ABE} = 5x, \\ and  \\ \: m \angle{EBD } = 3x + 2\\ but \: m \angle{EBD }  +  m \angle{ABE} = 90 \\ hence \to \\ (3x + 2) + (5x) = 90 \\ 8x + 2 = 90 \\ 8x = 90 - 2 \\ 8x = 88 \\ x =  \frac{88}{8}  \\ \boxed{ x = 11} \\  \\ if \: x = 11, \: then \to \\ m \angle{ABE} = \: 5x = 5(11) \\  \boxed{m\angle{ABE} =55}

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