Question

Consider the circle below.-I don’t know how to solve this EOC practice

Answer 1

The sum of the opposite angles is 180°

8z + 14z - 7 = 180°

22z = 180+7

22z = 187

z = 187/22

z = 8.5°

m∠U = 8z

m∠U = 8*8.5

m∠U = 68°

m∠S = 14z - 7

m∠S = 14*8.5 - 7

m∠S = 119 -7

m∠S = 112°

m∠T = 10z

m∠T = 10*8.5

m∠T = 85°

m∠R = 180 - 85

m∠R = 95°