Question

PLEASE HELP ASAP!!!!!!!!!!!

Answer 1

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.

$\angle CFE=\angle DAB$

It is given that the angle DAB is 63 degree.

$\angle CFE=63^{\circ}$

Therefore, the correct option is b.

(2)

It is given that the △ABD≅△FEC.

So by (CPCTC) corresponding parts of congruent triangles are congruent.

$BD=EC$

$BD=CD+DE$

$BD=8+10$

$BD=18$

Therefore, the correct option is c.

Answer 2

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.