Respuesta :

From the diagram above, we have been told to find the values of angles d and c.

The angles formed at point W in the diagram all add up to 180 degrees.

[tex]\begin{gathered} \text{Sum of angles on a straight line add up to 180 degr}ees. \\ 60+c+90=180^0 \\ 150^0+c=180^0 \\ \text{subtract 150 from both sides} \\ c=180-150 \\ \therefore c=30^0 \end{gathered}[/tex]

Next, we can find angle d using the theorem that states "All the angles in a triangle add up to 180 degrees"

To find d, consider triangle YZW and apply the above theorem.

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Ver imagen KambryJ598083
Ver imagen KambryJ598083