At point , three rays and are drawn such that and are opposite rays and lies in…
MATHEMATICS · Multi-part · GCSE · Mathematics · Geometry and Measures · Geometry and Measures
Problem
At point A, three rays AB,AC, and AD are drawn such that AB and AD are opposite rays and AC lies in between them. A student observes that ∠BAC and ∠CAD are equal and concludes that they are vertically opposite angles.
(i) Explain why the student's conclusion is incorrect.
(ii) Correctly classify the relationship between ∠BAC and ∠CAD with justification.
(iii) If ∠BAC=68∘, find ∠CAD and ∠BAD.