Question

Can anyone help me out with this question?
Subject - Maths

Answer 1

Answer:

(i) ∠NKL = ∠ILF

(ii) ∠FLK = 180° - ∠ILF

Hope this helps

Mark me as brainliest!!

Answer 2

Answer:

(i) ∠NKL = 80°

(ii) ∠FLK = 100°

Step-by-step explanation:

∠ILF = ∠NKL = 4x°     (∵Corresponding angles are equal)

∠MKL = ∠FLK = 5x°   (∵Alternate Interior Angles are equal)

∠NKL + ∠FLK = 180° (∵Co-Interior angles are supplementary)

4x° + 5x° = 180°

9x° = 180°

x° = 180° ÷ 9

x° = 20°

∠NKL = 4x° = 4 × 20° = 80°

∠FLK = 5x° = 5 × 20° = 100°

Don't forget to mark this answer as brainliest!