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Q16

Expert-verified
Found in: Page 76

Geometry

Book edition Student Edition
Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Pages 227 pages
ISBN 9780395977279

Classify each pair of angles as alternate interior, same side interior or corresponding anglesand

and are same side interior angles.

See the step by step solution

Step 1. Observe the diagram

In the diagram the angles are mentioned by the alphabets A, B, C, D, E, F, G, H, J, K, L respectively.

Step 2. State the definition

Alternate interior angles: These are the two nonadjacent interior angles which are on the opposite sides of the transversal.

Same-side interior angles: These are the two interior angles which are on the same sides of the transversal.

Corresponding angles: These are the two angles which relative to the two lines are in the corresponding position.

Step 3. State the explanation

Consider the figure

It can be observed that $\angle \text{\hspace{0.17em}}HCB\text{and}\angle \text{\hspace{0.17em}}CBJ$ are on the same sides of the transversal $\stackrel{↔}{BC}$.

.Thus, by using the above definitions, it can be said that $\angle \text{\hspace{0.17em}}HCB\text{and}\angle \text{\hspace{0.17em}}CBJ$ are Same side interior angles.