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

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°)

Answer 2

Answer:

The measure of angle F = (2 x + 6)°

Step-by-step 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