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

In the diagram m1=?¯, andm2=?¯

Short Answer

Expert verified

In the diagram,m1=105 andm2=35

Step by step solution

01

Step 1. Draw a labeled diagram.

The labelled diagram is:

02

Step 2. Description of step.

From the diagram, it can be noticed that:

BAD=BAC+CAD

Therefore, it can be obtained that:

BAD=BAC+CAD=50°+40°=90°

Therefore, the measure of the angle∠BAD is 90°.

The sum of the angles of a triangle is 180°.

Therefore, the sum of the angles of a triangleΔABD is 180°.

Therefore, it can be obtained that:

BAD+ABD+ADB=180°90°+55°+2=180°145°+2=180°2=180°145°2=35°

Therefore, the measure of the angle∠2 is 35°.

The sum of the angles of a triangle is 180°.

Therefore, the sum of the angles of a triangleΔACD is 180°.

Therefore, it can be obtained that:

CAD+ACD+ADC=180°40°+2+1=180°40°+35°+1=180°75°+1=180°1=180°75°1=105°

Therefore, the measure of the angle ∠1 is 105°.

03

Step 3. Write the complete statement.

In the diagram, m1=105and m2=35.

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