Question

Using the figure on the left, what is the measure of ∠ZWY and ∠ZYW?60° + c° + 90° = 180°

Answer 1

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.

`\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}`

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.