Answer:
z = 60°
Step-by-step explanation:
To get the measure of angle E we will use the property of similar triangles.
" If the two triangles are similar their corresponding angles will be equal in measure. "
Since, ΔACB ~ ΔEFD,
Their corresponding angles will measure the same.
m∠A ≅ m∠E
m∠C ≅ m∠F
m∠B ≅ m∠D
In ΔABC,
m∠A + m∠B + m∠C = 180°
m∠A + 65 + 55 = 180
m∠A = 180 - 120
m∠A = 60°
Therefore, m∠A ≅ z ≅ 60°
