SOLUTION: Given: in ΔXYZ, ∠XYZ is a right angle. Prove: ∠YXZ and ∠YZX are complementary.

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Question 214429: Given: in ΔXYZ, ∠XYZ is a right angle.
Prove: ∠YXZ and ∠YZX are complementary.
Answer by solver91311(24713) About Me  (Show Source):
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The sum of the measures of the interior angles of any triangle is 180° A right angle measures 90°, so in any right triangle, the sum of the two acute angles must be 180° - 90° = 90°. The sum of the measures of two angles is 90° if and only if the two angles are complementary.


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