The measure of ∠BAF is 54°.
Solution:
DF and CE are intersecting lines.
m∠EAF = 72° and AB bisects ∠CAF.
∠EAF and ∠DAC are vertically opposite angles.
Vertical angle theorem:
<em>If two lines are intersecting, then vertically opposite angles are congruent.</em>
∠DAC ≅ ∠EAF
m∠DAC = 72°
<em>Sum of the adjacent angles in a straight line = 180°</em>
m∠DAE + m∠EAF = 180°
m∠DAE + 72° = 180°
Subtract 72° from both sides.
m∠DAE = 108°
∠CAF and ∠DAE are vertically opposite angles.
⇒ m∠CAF = m∠DAE
⇒ m∠CAF = 108°
AB bisects ∠CAF means ∠CAB = ∠BAF
m∠CAB + m∠BAF = 108°
m∠BAF + m∠BAF = 108°
2 m∠BAF = 108°
Divide by 2 on both sides, we get
m∠BAF = 54°
Hence the measure of ∠BAF is 54°.
Answer:
49pi, or 153.93
Step-by-step explanation:
pi*r^2=Area
14/2=7=r
r^2=7^2=49
Answer:49pi or 153.93
Plz give brainliest as you said you would!
Answer:
B
Step-by-step explanation:
1^2+8^2=
First plug in the numbers 5 x 8 = 40
40-4y+6x8=48
40-4y+48
11) 4
12) $6.66 a min
13) 25¢
14) Alexander
15) C. 22.50
16) C
