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Question In each case, determine which angle is greater and why.
(a) ∠AOB or ∠XOY
(b) ∠AOB or ∠XOB
(c) ∠XOB or ∠XOC
Discuss with your friends how you decided which one is greater.
(a) ∠AOB > ∠XOY; it is visible that ∠XOY is included within ∠AOB, so ∠AOB > ∠XOY.
(b) ∠AOB > ∠XOB; it is visible that arms OA and OB are open more than arms OX and OB also, ∠XOB is included within ∠AOB.
(c) ∠XOB = ∠XOC; here, the arm OX is common, and the points B and C lie on the same arm thus, ∠XOB = ∠XOC.