Name: Date: Per: Unit 10: Circles Homework 2: Central Angles & Arc Measures ** This is a 2-page document! ** Directions: Find the following arc measures. 1. 127° K L mJL = M mJML: 2. A D 164° mBC = mABC= B C 3. D 4. mDE = mFE = U C 104° 44° mDEF = mTQ = mQR = = mTS = G T V E R mCFD = 25° mSQR = mDFE = S F mRQT = 5. 0 6. K 108° mKL = L Մ mYU = 67° mLON = Y V mXW = P 55 mOM= M mXVW = Z X W mKNL = mVW = N m NL = mYWU = Directions: Find the value of x.. 7. J 31° K 9. M N (9x+23)° L A (21x-9)° F متنا E D1 C 27° B x = 8. (16x-13) P S T 83° R x = 10. Given: CH bisects ZDHG, mGF = (2x+6)°, and mDC = (7x-1). 7x-16 E H C x = 9-1 G F 2(7x-1)+2x+6=180 14x-2+2x+6=180 16x+4=180 16x-186 x = Gina Wilson (All Things Algebra, LLC), 2015-2019

If Snow White polishes the diamonds that the seven dwarves mine and bring home, she gets to keep 1/8 of the diamonds. One day after work Bashful brought 1 diamond, Doc brought 6 diamonds, Dopey brought 1 diamond, Grumpy brought 4 diamonds, Happy brought 5 diamonds, Sleepy brought 3 diamonds, and Sneezy brought 4 diamonds. Find how many diamonds Snow White kept after she finished polishing the diamonds.

A large church's organ is divided into two parts, one in the front and one in the back. When both parts are played at the same time, a person running down the aisle will notice that they are out of rhythm. Why?

Gwen is twice as old as Arni was when Gwen was as old as Arni is now. If Gwen is 24 years old now, how old is Arni now?