Angles made by the transversal - Theory
Parallel Lines
Transversal
Angles made by the transversal
Interior angles
Alternate Interior Angles
Exterior angles (when transversal intersects two parallel lines)
Alternate exterior angles
Proof of Alternate Exterior Angle Equal You are here
Interior angles on same side of transversal
Corresponding Angles
Ex 5.2, 2 Important
Angles made by the transversal - Theory
Last updated at March 16, 2023 by Teachoo
Let’s prove alternate exterior angles ∠1 & ∠8 equal
For parallel lines l and m,
with transversal p,
∠1 = ∠5 (Corresponding angles) …(1)
Also,
∠5 = ∠8 (Vertically opposite angles) …(2)
From (1) & (2)
∠1 = ∠5
Hence,
Alternate Exterior Angles are equal.
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