Question

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

1. △ABD≅△FEC. What is m∠CFE?
a. 45 degrees
b. 63 degrees
c. 72 degrees
d. Not enough information

2. △ABD≅△FEC What is the measure of BD?
a. 8
b. 10
c. 18
d. Not enough information

Answer 1

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.

Answer 2

Answer:(1) The correct option is b. (2) The correct option is c.

Step-by-step 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.