Question

May I please get help with this. I still can’t figure out the the answers

Answer 1

• m∠C=60

,

• m∠D=35

,

• m∠E=85

Explanation:

Given that the two triangles are similar, and:

• m∠Y=35°

,

• m∠W=85°

Since we are told that the triangles are accurately drawn, then:

`\begin{gathered} \triangle\text{WXY}\sim\triangle\text{ECD } \\ \text{Triangle WXY is similar to triangle ECD} \end{gathered}`

Thus:

`\begin{gathered} m\angle C\cong m\angle X \\ \text{Solve for the measure of angle X in triangle WXY.} \\ m\angle X=180-35\degree-85\degree=60\degree \\ \implies m\angle C=60\degree \end{gathered}`

Similarly:

`\begin{gathered} m\angle D\cong m\angle Y=35\degree \\ m\angle E\cong m\angle W=85\degree \end{gathered}`

The measures of angles C, D and E are 60, 35 and 85 respectively.