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Angle Basics, SM-Bank 021

The diagram below shows a right angle.
 

Calculate, giving reasons, the value of \(x^{\circ}\).   (1 mark)

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\(\text{Right angles = 90}^{\circ} \)

\(a^{\circ} =50^{\circ}\ \ \text{(complementary angles)}\)

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\(\text{Right angles = 90}^{\circ} \)

\(a+2+a-12\) \(=90\ \text{(complementary angles)}\)  
\(2a-10\) \(=90\)  
\(a^{\circ}\) \(=\dfrac{100}{2}\)  
  \(=50^{\circ}\)