Answered

IDNLearn.com makes it easy to find the right answers to your questions. Our experts provide timely, comprehensive responses to ensure you have the information you need.

Content - Common
In OP, mBC = 150°, mDE = 40°, mEF = 50°, mFB = 60°. Find each measure.
E
D
mZBCA=
mZFHCE
m2A=
mZGBC =
measure of arc EBC =

Content Common In OP MBC 150 MDE 40 MEF 50 MFB 60 Find Each Measure E D MZBCA MZFHCE M2A MZGBC Measure Of Arc EBC class=

Sagot :

Sqdancefanidn

9514 1404 393

Answer:

  • ∠BCA = 30°
  • ∠FHC = 125°
  • ∠A = 45°
  • ∠GBC = 75°
  • arc EBC = 260°

Step-by-step explanation:

Angle BCA intercepts arc FB, so is half its measure: 60°/2 = 30°.

Angle FHC is half the sum of the angles intercepted by its chords: (60°+150°+40°)/2 = 125°.

Angle A is half the difference of the arcs it intersects: (150° -60°)/2 = 45°.

Angle GBC is half the measure of the arc it intercepts: 150°/2 = 75°.

arc EBC is the sum of arcs EF, FB, and BC: 50° +60° +150° = 260°.

View image Sqdancefan
Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. IDNLearn.com has the solutions to your questions. Thanks for stopping by, and see you next time for more reliable information.