Question

The design of a nomadic tribal rug is shown, where m<AED=34° and m<EAD=112°

Answer 1

The required angle m∠ADB  of the nomadic tribal rug is 112°

Given, that in ΔAED and ΔBDC,

where, m∠AED = 34° and m∠EAD = 112°

To find m∠ADB

By using the angle sum property of a triangle, which states that the sum of interior angles of a triangle is 180°.

Therefore in ΔAED,

m∠AED + m∠EAD +  m∠ADE = 180°

   34°  +    112°    +   m∠ADE   = 180°

or,    m∠ADE + 146° = 180°

or,       m∠ADE    = 34°

Similarly, m∠BDC = 34°

Now, by using the sum of linear pair of angles,

m∠ADE + m∠ADB + m∠BDC = 180°

  34° + m∠ADB + 34°  = 180°

   m∠ADB + 68° = 180°

   m∠ADB  = 180°- 68°

    m∠ADB = 112°

To learn more about linear pair of angles, visit: brainly.com/question/26555759?referrer=searchResults

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