Find the value of unknown x in the following diagrams :

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Solution

∠A+∠B+∠C=180° ( Sum of all interior angles of a triangle is 180° )
i)50°+60°+x=180°
⇒x=70°
ii)30°+90°+x=180°
⇒x=60°
iii)120°+30°+x=180°
⇒x=30°
iv)50°+x+x=180°
⇒x=65°
v)x+x+x=180°
⇒x=60°
vi)90°+2x+x=180°
⇒x=30°

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