Answer:
• 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:
[tex]\begin{gathered} \triangle\text{WXY}\sim\triangle\text{ECD } \\ \text{Triangle WXY is similar to triangle ECD} \end{gathered}[/tex]
Thus:
[tex]\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}[/tex]
Similarly:
[tex]\begin{gathered} m\angle D\cong m\angle Y=35\degree \\ m\angle E\cong m\angle W=85\degree \end{gathered}[/tex]
The measures of angles C, D and E are 60, 35 and 85 respectively.
