Observe the figure:
Consider the first right angle triangle is and second triangle is .
Case(i):
Let .
measures , and .
Find .
(Sum of the angles measures is )
(Addition: )
(Subtract from each side)
(Apply additive inverse property: )
Therefore, the angle is .
Case(Ii):
Let .
measures , and .
Find .
(Sum of the angles measures is )
(Addition: )
(Subtract from each side)
(Apply additive inverse property: )
Therefore, the angle of is .
Hence, and angle measures are equal.
Yes; the angle measures are proportional.
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