Question

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

Answer 1

The measure of angle F = (2 x + 6)°

Explanation:

Given figure shown the measure of each angles :

∠E = ( x + 30)°

∠D = x°

It is given that ∠F = ( ∠E + ∠D ) - 24

Or, ∠F = ( x + 30)° + x° - 24

Or, ∠F = (2 x + 30)° - 24

∴, ∠F = ( 2 x + 6)° Answer

Answer 2

The measure of ∠F = (2 x + 6°)

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°)