Question

!!!PLEASE SOMEONE HELP ANSWER THIS QUICK!!!
9. ∠DEF and ∠FEG are complementary. m∠DEF = (3x − 4)°, and m∠FEG = (5x + 6)°.
Find the measures of both angles.

Answer 1

Answer:

• 29°
• 61°

Step-by-step explanation:

Complementary angles are two angles that add up to be 90 degrees.

We can write an equation and solve for x.

(3x - 4) + (5x + 6) = 90

~Combine like terms

8x + 2 = 90

~Subtract 2 to both sides

8x = 88

~Divide 8 to both sides

x = 11

Angle DEF:

3x − 4

3(11) - 4

33 - 4

29°

Angle FEG:

5x + 6

5(11) + 6

55 + 6

61°

Check:

29 + 61 = 90°

Best of Luck!