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Angle Basics, SM-Bank 019

A straight line, as shown below, is split into two angles.
 

Calculate the value of \(x^{\circ}\), giving reasons.   (2 marks)

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\(\text{Straight lines have 180}^{\circ}\ \text{about a point.}\)

\(x^{\circ}=89^{\circ}\)

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\(\text{Straight lines have 180}^{\circ}\ \text{about a point.}\)

\(x+16+x-14\) \(=180\ \ \text{(supplementary angles)}\)  
\(2x+2\) \(=180\)  
\(x^{\circ}\) \(=\dfrac{178}{2}\)  
  \(=89^{\circ}\)