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I'll take a shot at this, but it's all assumptions and guesswork, since the question is so ambiguous:

-- The question doesn't state how many sides the figure has, or whether the 'b' is an angle or a side.

-- Assume that we're working with a right triangle, because the question uses the word "hypotenuse".

-- Assume that the 'b' it's asking for is another angle, besides the 40-degree angle given.

-- If it's a triangle, then the sum of the 3 interior angles is 180 degrees.

-- If it's a right triangle, then one of the interior angles is 90 degrees.

-- The missing angle is [ 180 - 90 - 40 ] = 50 degrees.

The length of the hypotenuse makes no difference, but we're very happy that

you said the magic word "hypotenuse".

Q: How do you solve for side b in a right triangle when angle a is 40 degrees and the hypotenuse is 15?

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A right triangle with a hypotenuse of 12cm and an angle 30 degrees has an opposite angle of: 60 degrees.

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