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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