$\"\"$

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Observe the figures:

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

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Case (i):

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Let $\"\"$ .

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$\"\"$ is measures of $\"\"$ , $\"\"$ 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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$\"\"$ is measures of $\"\"$ , $\"\"$ 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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Hence, $\"\"$ and $\"\"$ angle measures are not equal. $\"\"$

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No; the angle measures are not equal.