Question

15 Pts + Brainliest for best answer.

Answer 1

Two angles are Complementary when they add up to 90°.

Therefore m∠DFG + m∠JKL = 90°.

We have m∠DFG = x + 1 and m∠JKL = x - 9. Substitute:

(x + 1) + (x - 9) = 90

(x + x) + (1 - 9) = 90

2x - 8 = 90         add 8 to both sides

2x = 98       divide both sides by 2

x = 49

m∠DFG = x + 1 → m∠DFG = 49° + 1° = 50°

m∠JKL = x - 9 → m∠JKL = 49° - 9° = 40°

Answer: m∠DFG = 50° and m∠JKL = 40°