In triangle DEF above, the measure angle F is 24 less than the sum of the measure of angle D and angle E. Which expression represents the measure of angle F
Accepted Solution
A:
Answer:The measure of ∠F = (2 x + 6°)Step-by-step explanation:Here in ΔDEF, given: (∠D + ∠E) - 24° = ∠F Hence, the value of ∠F = (∠D + ∠E ) - 24°Now, ∠D = x , ∠E = x + 30°Substituting these values in the above equation, ⇒∠F = x + (x + 30°) - 24° = 2x + 6°or , ∠F = 2x + 6°Hence, the measure of ∠F = (2x + 6°)