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m/_Z+m/_X=90^(@) Select m/_Y+m/_X=90^(@) Select

m∠Z+m∠X=90∘ \mathrm{m} \angle \mathrm{Z}+\mathrm{m} \angle \mathrm{X}=90^{\circ} \newlineSelect\newlinem∠Y+m∠X=90∘ \mathrm{m} \angle \mathrm{Y}+\mathrm{m} \angle \mathrm{X}=90^{\circ} \newlineSelect

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Find derivatives using the quotient rule Iright chevron icon

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Q. m∠Z+m∠X=90∘ \mathrm{m} \angle \mathrm{Z}+\mathrm{m} \angle \mathrm{X}=90^{\circ} \newlineSelect\newlinem∠Y+m∠X=90∘ \mathrm{m} \angle \mathrm{Y}+\mathrm{m} \angle \mathrm{X}=90^{\circ} \newlineSelect
  1. Given Angles: Given m/Z+m/X=90ext°m/_Z + m/_X = 90^ ext{°}
  2. Subtraction of Angles: Given m/_Y+m/_X=90∘m/\_Y + m/\_X = 90^\circ
  3. Simplified Equation: Subtract the second equation from the first equation: (mZ+mX)−(mY+mX)=90∘−90∘\left( \frac{m}{Z} + \frac{m}{X} \right) - \left( \frac{m}{Y} + \frac{m}{X} \right) = 90^\circ - 90^\circ
  4. Final Result: Simplify the equation: mZ−mY=0∘\frac{m}{_Z} - \frac{m}{_Y} = 0^\circ
  5. Final Result: Simplify the equation: m_Z−m_Y=0∘ \frac{m}{\_Z} - \frac{m}{\_Y} = 0^{\circ} Add m_Y \frac{m}{\_Y} to both sides: m_Z=m_Y \frac{m}{\_Z} = \frac{m}{\_Y}

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