aidanoliveras02
Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Can someone please help me on this would be appreciated

Can Someone Please Help Me On This Would Be Appreciated class=

Sagot :

mhanifa

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
We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.