Answer: 88 degrees
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Explanation:
For now, ignore or erase line segment IK.
Any rhombus is a parallelogram (but not the other way around), which means that the adjacent angles are supplementary. Angles JIH and IHK add to 180.
We can use the given angle in the diagram to find that,
angle JIH + angle IHK = 180
angle JIH = 180 - angle IHK
angle JIH = 180 - 70
angle JIH = 110 degrees
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Now we can consider the segment IK
Recall that one useful property of any rhombus is that the diagonals bisect the angles. The diagonal IK cuts angle JIH into two equal pieces (angles JIK and KIH).
Since JIH is 110 degrees, this means JIK is 110/2 = 55 degrees.
Set this equal to b-33 and solve for b.
b-33 = 55
b = 55+33
b = 88 degrees
