Question

Can someone please help me on this would be appreciated

Answer 1

Answer:

• 16°

Step-by-step explanation:

According to diagram we have:

• ∠FLH ≅ ∠LMK, corresponding angles
• ∠LMK ≅ ∠GMJ, vertical angles
• ∠IMJ ≅ ∠KMH, vertical angles
• ∠H ≅ ∠IMJ, corresponding angles

Now:

• m∠FLH = m∠LMK = m∠GMJ
• m∠GMJ = m∠GMI + m∠IMJ
• 3x + 6 = 3x - 10 + 2x
• 2x = 6 + 10
• 2x = 16
• x = 8

Find the measure of angle H:

• m∠H = m∠IMJ = 2x = 2*8 = 16