While proving that the vertically opposite angles formed by two intersecting lines…
MATHEMATICS · Single correct · CBSE · Mathematics · Introduction to Euclid's Geometry · Introduction to Euclid's Geometry
Problem
While proving that the vertically opposite angles formed by two intersecting lines are equal, a student writes: “Since ∠AOC+∠AOD=180∘ and ∠AOD+∠DOB=180∘, we have ∠AOC=∠DOB.” Which Euclidean principle justifies this deduction?
(a) Linear Pair Axiom
(b) Common Notion “If equals are subtracted from equals, the remainders are equal”
(c) Common Notion “Things equal to the same thing are equal to one another”
(d) Angle Sum Property of a Triangle