1.

In ΔXYZ, m∠Y = 90°. What kind of a pair do ∠X and ∠Z make?

Answer»

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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