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:
D. 23.1%
Step-by-step explanation:
852-692=160 160/692=0.231213873 rounds to 0.231 move decimal over two places to the right to make it percent which is 23.1%
sides 2 * 6 * 4 =48 and 6*4=24
bottom 6*2.5 =15
2.5*4=10
10*2=20 that's the area of 2 smaller sides
Step-by-step explanation:
we add up the dimensions together 48+20+15=83
so the final equation becomes (6*2.5)+2(2.5*4)+2*(6*4)=83
