Chapter 3: Q3. (page 111)
and are? angles.
Short Answer
and are alternate interior angles.
Step by step solution
Step 1. Highlight ∠5 and src="data:image/svg+xml;base64,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" role="math" localid="1649999246557" src="https://studysmarter-mediafiles.s3.amazonaws.com/media/textbook-exercise-images/c8391f47-08d1-44e0-a272-03995933c315.svg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIA4OLDUDE42UZHAIET%2F20220415%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20220415T050944Z&X-Amz-Expires=90000&X-Amz-SignedHeaders=host&X-Amz-Signature=8455393d0147765f33570e734b828c16865a4dd650eba961e69c2b822a466d9b" ∠3 in the given diagram.
Step 2. Apply the definition of alternate interior angles.
When two parallel lines are intersected by a transversal then the angles formed on the inner side of the parallel lines but, on the opposite sides of the transversal are alternate interior angles.
Step 3. Description of step.
From the given figure it can be observed thatand is transversal then by the definition of alternate interior angles,and are alternate interior angles.
Therefore, and are alternate interior angles.
Unlock Step-by-Step Solutions & Ace Your Exams!
-
Full Textbook Solutions
Get detailed explanations and key concepts
-
Unlimited Al creation
Al flashcards, explanations, exams and more...
-
Ads-free access
To over 500 millions flashcards
-
Money-back guarantee
We refund you if you fail your exam.
Over 30 million students worldwide already upgrade their learning with Vaia!