Question

∠DEF and ∠FEG are supplementary. m∠DEF=(3x+5)°, and m∠FEG=(2x)°. What is the measure of ∠DEF?

Answer 1

DEF = 110

Explanation:

Supplementary angles add to 180

3x+5 +2x = 180

Combine like terms

5x +5 = 180

Subtract 5 from each side

5x = 175

Divide each side by 5

5x/5 = 175/5

x =35

DEF = 3x+5

= 3*35 +5

= 105+5

= 110