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°.
Expanded form is when you write a number using like the hundreds tens and ones places. Example: 521 = 500+20+1
Answer:
140
Step-by-step explanation:
Because the lines are parallel:
Hope this helps!
Domain: (-infinity,infinity)
Range: (0, infinity)
The asymptote is at 0
If 5.6 and 2.1 are the measurements then:
you multiply 5.6 and 2.1 to get the area.
Area=11.76squared
You add 5.6+5.6+2.1+2.1 to get the perimeter.
Perimeter=15.4
