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100 POINTS HELP ASAP NOW!!!!!!
Find the value of x in each case.

100 POINTS HELP ASAP NOW Find The Value Of X In Each Case class=

Sagot :

sqdancefan

9514 1404 393

Answer:

  x = 22.5°

Step-by-step explanation:

The interior angle at E is (180 -4x), the supplement of the exterior angle there, 4x. The sum of angles 2x and (180-4x) will be equal to 6x, because alternate interior angles at transversal BE are congruent:

  2x +(180 -4x) = 6x

  180 = 8x . . . . . . . add 2x and simplify

  22.5 = x . . . . . . . divide by 8

The value of x is 22.5°.

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