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Angle Basics, SM-Bank 020

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

Calculate the value of both angles.   (3 marks)

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

\(p^{\circ}=45^{\circ}, (3p)^{\circ} = 3 \times 45 = 135^{\circ}\)

Show Worked Solution

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

\(3p+p\) \(=180\ \ \text{(supplementary angles)}\)  
\(p^{\circ}\) \(=\dfrac{180}{4}\)  
  \(=45^{\circ}\)  

 
\(\therefore\ \text{Two angles:}\ p^{\circ}=45^{\circ}, (3p)^{\circ} = 3 \times 45 = 135^{\circ}\)