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in Angles and Pairs of Angles by (47.6k points)
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In ΔXYZ, m∠Y = 90°. What kind of a pair do ∠X and ∠Z make?

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In ΔXYZ, 

m∠X + m∠Y + m∠Z = 180° ….(Sum of the measure of the angles of a triangle is 180°) 

∴m∠X + 90 + m∠Z = 180 

∴m∠X + 90 + m∠Z – 90 = 180 – 90 …. (Subtracting 90 from both sides) 

∴m∠X + m∠Z = 90° 

∴∠X and ∠Z make a pair of complementary angles

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