Howard L. answered 09/04/14
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The question is not clear how the support beam is going to constructed under the stairs,but if the support beam is a right angle to the 110° angle, then it will form a right triangle with angles of 90°, 70°, 20°, where 70° is from 110°- 90° and 20° is from 90° - 70°.
Therefore, the angle measure the support need to have is 20°.