need help very quickly please! thank you!

Question

Question 1: Identify f.

A.) f = 15

B.) f = 10

C.) f = 12

D.) f = 8

Question 2: Identify m∠CFB.

A.) m∠CFB = 102°

B.) m∠CFB = 42°

C.) m∠CFB = 51°

D.) m∠CFB = 60°



Please give explanation and answer!

Answer 1

Hi Wasabi. For #1, the arrow is pointing to a right angle.

Therefore, 90=6(3f-15). Next is 90=18f-90, by distribution.

Bringing the 90 from right to the left side, we have 180=18f

Dividing both sides by 18, we get f=10, the answer.

For #2, angle CFB = 1/2(angle AFD+angle CFB)= 1/2(60+42)

That= 1/2(102)=51 degrees= answer