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find DEC

pls give through explanation

Find DEC Pls Give Through Explanation class=

Sagot :

Alphonsinee

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Angle AEB and Angle DEC are opposite angles which means they are equal in measure. Hence,

⇛ Angle AEB = Angle DEC

⇛ 9x + 8° = 3x + 42°

⇛ 9x - 3x = 42° - 8°

⇛ 6x = 34°

⇛ x = (34/6)°

To find: Angle DEC = 3(

34/6 °) + 42° = 59° (Ans)

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