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°.
Here are some examples:
Integers are positive and negative numbers, but dividing integers are dividing positive and negative numbers:
Remember these rules:
- Negative divided by a negative equals a positive.
- Negative divided by a positive equals a negative.
- Positive divided by a positive equals a positive .
Examples:
Hope this helps!
Answer:(A²-B²) = (A-B)² + 2AB
Step-by-step explanation:
1:10 or 100:1000 so the point is to just add one zero to each side and you'll get it right
Answer:
The correct answer is f(x)
Step-by-step explanation:
The answer is f(x) because is the result of the quadratic sum, once the function is evaluated. Example:
Let be x= 2
Then f(2)= 4+2+1=7
Therefore the output is f(2) which is equal to 7.