Answer:(1) The correct option is b. (2) The correct option is c.
Explanation:
(1)
It is given that the △ABD≅△FEC.
So by (CPCTC) corresponding parts of congruent triangles are congruent.
[tex]\angle CFE=\angle DAB[/tex]
It is given that the angle DAB is 63 degree.
[tex]\angle CFE=63^{\circ}[/tex]
Therefore, the correct option is b.
(2)
It is given that the △ABD≅△FEC.
So by (CPCTC) corresponding parts of congruent triangles are congruent.
[tex]BD=EC[/tex]
[tex]BD=CD+DE[/tex]
[tex]BD=8+10[/tex]
[tex]BD=18[/tex]
Therefore, the correct option is c.
Answer:
1). Option B.
2). Option C.
Step-by-step explanation:
1). In the figure attached, ΔABD ≅ ΔCFE
Then corresponding parts of the congruent triangles will be equal.
Therefore, m∠CFE ≅ m∠BAD ≅ 63°
Option B will be the answer.
2. We have to find the measure of BD.
Since ΔABD ≅ ΔCFE
So side BD ≅ side EC ≅ (CD + DE)
m(side BD) = 8 + 10 = 18 units
Option C is the answer.
