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°.
t = 3
Simple interest will be derived by multiplying the principal, the interest rate, and the term.
Interest = Principal x Rate x Term
Interest = 105
Principal = 700
Rate = 0.05
Term = ?
Based on the Simple Interest formula,
term = Interest / principal x rate
term = 105 / (700 x 0.05)
term = 105 / 35
term = 3
Is there supposed to be a photo?
Look at the pictures (examples)
m∠1 = m∠6 → answer: none
m∠2 = m∠3 → answer: none
m∠2 = m∠C → answer: none
