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GalinKa [24]
2 years ago
9

What is the value of b

Mathematics
1 answer:
Talja [164]2 years ago
6 0

Answer:

Step-by-step explanation:

b is an inscribed angle. The rule for this is that the measure of an inscribed angle is half the measure of the arc it intercepts. The arc it intercepts is 56 degrees, so the measure of angle b is half of that at 28

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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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