$\"\"$

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Observe the figure:

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Consider the first right angle triangle is $\"\"$ and second triangle is $\"\"$ .

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Case(i):

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Let $\"\"$ .

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$\"\"$ measures $\"\"$ , $\"\"$ and $\"\"$ .

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Find $\"\"$ .

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$\"\"$ (Sum of the angles measures is $\"\"$ )

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$\"\"$ (Addition: $\"\"$ )

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$\"\"$ (Subtract $\"\"$ from each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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Therefore, the angle $\"\"$ is $\"\"$ .

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$\"\"$

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Case(Ii):

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Let $\"\"$ .

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$\"\"$ measures $\"\"$ , $\"\"$ and $\"\"$ .

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Find $\"\"$ .

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$\"\"$ (Sum of the angles measures is $\"\"$ )

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$\"\"$ (Addition: $\"\"$ )

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$\"\"$ (Subtract $\"\"$ from each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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Therefore, the angle of $\"\"$ is $\"\"$ .

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Hence, $\"\"$ and $\"\"$ angle measures are equal.

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$\"\"$

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Yes; the angle measures are proportional.