Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

If cd, name all angels that must be congruent to 1.

Short Answer

Expert verified

Angles congruent to1is6,9,and14.

Step by step solution

01

Step 1. Observations from figure

a is transversal to parallel linescandd

02

Step 2. Find corresponding angles

Corresponding angle to 1is 9

Postulate 10: If two parallel lines are cut by a transversal then the corresponding angles are congruent

Thus,19

03

Step 3. Find vertically opposite angles

Vertically opposite angle to 1is6

Vertically opposite angle to 9is 14

Theorem 2-3: Vertically opposite angles are congruent, so 16and914.

04

Step 4. Use transitive property

If a=band b=cthen a=c

Substitute 1for a,6 for b, and 14for c

Since, 16and 614implies114

Thus, angles congruent to 1is6,9,and14

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!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Study anywhere. Anytime. Across all devices.

Sign-up for free