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