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What is the value of x in the diagram

What is the value of x in the diagram-example-1

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m ADE = 42

m < ABC = 180 - 42 = 138

The other angle in the quadrilateral BCD_ = 360 - 2*138 - 32 = 52 degrees

so 52 = x + 42 (external angle = sum of 2 opposite angles)

x = 52 - 42 = 10 degrees Answer


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